bondscell_results@$921bba30-dcbc-11ea-13c3-87554722da8aqueued¤logsrunning¦outputbodymimetext/plainrootassigneelast_run_timestampAڭ5/persist_js_state·has_pluto_hook_features§cell_id$921bba30-dcbc-11ea-13c3-87554722da8adepends_on_disabled_cells§runtimeIpublished_object_keysdepends_on_skipped_cells§errored$5c4a5f22-d471-11ea-260f-9338d8bfa2d6queued¤logsrunning¦outputbody

Keep working on it!

Let's fix the above cell before we move on! Find the formula to calculate the area using pi and r.

mimetext/htmlrootassigneelast_run_timestampAڭjpersist_js_state·has_pluto_hook_features§cell_id$5c4a5f22-d471-11ea-260f-9338d8bfa2d6depends_on_disabled_cells§runtimeBpublished_object_keysdepends_on_skipped_cells§errored$8cada086-daa5-11ea-220c-0f660938b604queued¤logsrunning¦outputbody
mimetext/htmlrootassigneelast_run_timestampAڭEpersist_js_state·has_pluto_hook_features§cell_id$8cada086-daa5-11ea-220c-0f660938b604depends_on_disabled_cells§runtimeEpublished_object_keysdepends_on_skipped_cells§errored$f907e46a-d471-11ea-07e5-f30e2aab3d08queued¤logsrunning¦outputbodyY

The diameter of a pizza is often stated on a menu so let's define a formula to calculate the area of a pizza given the diameter d.

We do this by writing a formula like this: area(d) = pi * (d/2)^2

Let's write that below:

mimetext/htmlrootassigneelast_run_timestampAڭpersist_js_state·has_pluto_hook_features§cell_id$f907e46a-d471-11ea-07e5-f30e2aab3d08depends_on_disabled_cells§runtimeTpublished_object_keysdepends_on_skipped_cells§errored$edb95b14-d473-11ea-3a5a-77382d31f941queued¤logsrunning¦outputbody

Finding the best pizza deal

Let's see if a larger pizza is a better value by calculating the price per area. There are 4 sizes: small, medium, large, extra large with the following prices:

SizeDiameter (inches)Price ($)
small913.10
medium1320.95
large1524.90
XL1730.95

1. How many small pizzas is the same as one XL pizza?

Edit the expression below:

mimetext/htmlrootassigneelast_run_timestampAڭ^}persist_js_state·has_pluto_hook_features§cell_id$edb95b14-d473-11ea-3a5a-77382d31f941depends_on_disabled_cells§runtimeb4published_object_keysdepends_on_skipped_cells§errored$70e85498-d500-11ea-35af-474574f5c011queued¤logsrunning¦outputbody1mimetext/plainrootassigneetwo_medium_deallast_run_timestampAڭpersist_js_state·has_pluto_hook_features§cell_id$70e85498-d500-11ea-35af-474574f5c011depends_on_disabled_cells§runtime'صpublished_object_keysdepends_on_skipped_cells§errored$e5e0a0da-d45c-11ea-1042-e9b5d0654d4fqueued¤logsrunning¦outputbodyo

Fix the value of c below to make it c = a * b

mimetext/htmlrootassigneelast_run_timestampAڭ73persist_js_state·has_pluto_hook_features§cell_id$e5e0a0da-d45c-11ea-1042-e9b5d0654d4fdepends_on_disabled_cells§runtime6 published_object_keysdepends_on_skipped_cells§errored$cb419286-d4ff-11ea-1d7f-af5c8574b775queued¤logsrunning¦outputbodyJ

3. Is this a good deal?

San Marinos has a special "Buy two medium pizzas and save $5". Is this a better deal than buying a extra-large pizza?

Calculate the total cost of two medium pizzas deal (saving $5):

mimetext/htmlrootassigneelast_run_timestampAڭHpersist_js_state·has_pluto_hook_features§cell_id$cb419286-d4ff-11ea-1d7f-af5c8574b775depends_on_disabled_cells§runtimeӵpublished_object_keysdepends_on_skipped_cells§errored$2ea7f162-d460-11ea-0e8e-25340e2e64daqueued¤logsrunning¦outputbody2.5mimetext/plainrootassigneeavglast_run_timestampAڭxްpersist_js_state·has_pluto_hook_features§cell_id$2ea7f162-d460-11ea-0e8e-25340e2e64dadepends_on_disabled_cells§runtime'8published_object_keysdepends_on_skipped_cells§errored$d9575e9c-d472-11ea-1eda-2d335d039f28queued¤logsrunning¦outputbody!

Now we have a function called area that we can pass any diameter and it will return the area of a pizza (or circle), let's try that with the pizza from before with area(2*r) to get the area of the pizza:

mimetext/htmlrootassigneelast_run_timestampAڭ㵕persist_js_state·has_pluto_hook_features§cell_id$d9575e9c-d472-11ea-1eda-2d335d039f28depends_on_disabled_cells§runtime published_object_keysdepends_on_skipped_cells§errored$cb36a9ee-d472-11ea-1835-bf7963137e18queued¤logsrunning¦outputbody%area (generic function with 1 method)mimetext/plainrootassigneelast_run_timestampAڭV6persist_js_state·has_pluto_hook_features§cell_id$cb36a9ee-d472-11ea-1835-bf7963137e18depends_on_disabled_cells§runtimeܵpublished_object_keysdepends_on_skipped_cells§errored$4119d19e-dcbc-11ea-3ec8-271e88e1afcaqueued¤logsrunning¦outputbodymimetext/plainrootassigneelast_run_timestampAڭ:persist_js_state·has_pluto_hook_features§cell_id$4119d19e-dcbc-11ea-3ec8-271e88e1afcadepends_on_disabled_cells§runtimespublished_object_keysdepends_on_skipped_cells§errored$76c11174-d474-11ea-29c5-81856d47cf74queued¤logsrunning¦outputbody0.15783649977634118mimetext/plainrootassigneemediumlast_run_timestampAڭ*persist_js_state·has_pluto_hook_features§cell_id$76c11174-d474-11ea-29c5-81856d47cf74depends_on_disabled_cells§runtime1published_object_keysdepends_on_skipped_cells§errored$f5f89724-d507-11ea-0a93-6d904f36bbe4queued¤logsrunning¦outputbody'pieces (generic function with 1 method)mimetext/plainrootassigneelast_run_timestampAڭ persist_js_state·has_pluto_hook_features§cell_id$f5f89724-d507-11ea-0a93-6d904f36bbe4depends_on_disabled_cells§runtimeq#published_object_keysdepends_on_skipped_cells§errored$97bfd13c-dcc2-11ea-0067-ad8c2c6517fcqueued¤logsrunning¦outputbody}

To get an extra hint, figure out how many slices we can get from 5 cuts:

mimetext/htmlrootassigneelast_run_timestampAڭ persist_js_state·has_pluto_hook_features§cell_id$97bfd13c-dcc2-11ea-0067-ad8c2c6517fcdepends_on_disabled_cells§runtimeypublished_object_keysdepends_on_skipped_cells§errored$48647ab2-daa5-11ea-0494-ef87be7cbf7cqueued¤logsrunning¦outputbody

Hint

A new cut will create the maximum number of new slices if it intersects all previous cuts.

mimetext/htmlrootassigneelast_run_timestampAڭEpersist_js_state·has_pluto_hook_features§cell_id$48647ab2-daa5-11ea-0494-ef87be7cbf7cdepends_on_disabled_cells§runtimeGpublished_object_keysdepends_on_skipped_cells§errored$5a6d1a8e-dcbc-11ea-272a-6f769c8d309cqueued¤logsrunning¦outputbodymimetext/plainrootassigneelast_run_timestampAڭ+԰persist_js_state·has_pluto_hook_features§cell_id$5a6d1a8e-dcbc-11ea-272a-6f769c8d309cdepends_on_disabled_cells§runtime 2published_object_keysdepends_on_skipped_cells§errored$a679bddc-d506-11ea-143a-6d4dcd70e918queued¤logsrunning¦outputbodyٔ

Hint

Try drawing it out on a piece of paper.

mimetext/htmlrootassigneelast_run_timestampAڭpersist_js_state·has_pluto_hook_features§cell_id$a679bddc-d506-11ea-143a-6d4dcd70e918depends_on_disabled_cells§runtime published_object_keysdepends_on_skipped_cells§errored$a07e5c3e-d476-11ea-308c-718f8f128334queued¤logsrunning¦outputbody

Hint

Keep trying to get the right answer. Hint: you need to multiply the radius by 2 to convert it into the diameter.

mimetext/htmlrootassigneelast_run_timestampAڭpersist_js_state·has_pluto_hook_features§cell_id$a07e5c3e-d476-11ea-308c-718f8f128334depends_on_disabled_cells§runtime^published_object_keysdepends_on_skipped_cells§errored$14158eb0-d45c-11ea-088f-330e45412320queued¤logsrunning¦outputbody2mimetext/plainrootassigneealast_run_timestampAڭJpersist_js_state·has_pluto_hook_features§cell_id$14158eb0-d45c-11ea-088f-330e45412320depends_on_disabled_cells§runtime&Hpublished_object_keysdepends_on_skipped_cells§errored$20a1e9cc-d500-11ea-3d9b-279c71bc20f1queued¤logsrunning¦outputbodyً

Now calculate cost per area by taking the total cost of two medium pizzas and divide by the total area:

mimetext/htmlrootassigneelast_run_timestampAڭpersist_js_state·has_pluto_hook_features§cell_id$20a1e9cc-d500-11ea-3d9b-279c71bc20f1depends_on_disabled_cells§runtimeKpublished_object_keysdepends_on_skipped_cells§errored$e80986c6-d509-11ea-12e3-f79a54b5ab31queued¤logsrunning¦outputbodymsg8TypeError: non-boolean (Missing) used in boolean contextstacktracecall_shorttop-level scopeinlined£urlpathu/home/fons/featured-slider-server/featured_fix/src/basic/Basic mathematics.jl#==#e80986c6-d509-11ea-12e3-f79a54b5ab31source_packagecalltop-level scopelinfo_typeCore.CodeInfolinefile

Move the slider to change the number of cuts:

mimetext/htmlrootassigneelast_run_timestampAڭ>%persist_js_state·has_pluto_hook_features§cell_id$bd9f3d24-d509-11ea-165d-3d465a0b4542depends_on_disabled_cells§runtimeтpublished_object_keysdepends_on_skipped_cells§errored$6ae748b2-d503-11ea-1c51-6b2df24fd212queued¤logsrunning¦outputbodyٟ

Hint

The cuts must go all the way across the pizza!

mimetext/htmlrootassigneelast_run_timestampAڭ쿔persist_js_state·has_pluto_hook_features§cell_id$6ae748b2-d503-11ea-1c51-6b2df24fd212depends_on_disabled_cells§runtimepublished_object_keysdepends_on_skipped_cells§errored$04b010c0-d473-11ea-1767-136c7e26e122queued¤logsrunning¦outputbody28.274333882308138mimetext/plainrootassigneeA2last_run_timestampAڭݰpersist_js_state·has_pluto_hook_features§cell_id$04b010c0-d473-11ea-1767-136c7e26e122depends_on_disabled_cells§runtime-xpublished_object_keysdepends_on_skipped_cells§errored$d9c31dfa-d470-11ea-23b2-838975b71f7cqueued¤logsrunning¦outputbody

Writing your own math functions

The area of a pizza is $A = \pi r^2$. Lets try calculating the area of a pizza that has a radius of 6 inches (r = 6). Type pi to get the value of $\pi$ and r^2 to get the radius squared.

mimetext/htmlrootassigneelast_run_timestampAڭݥpersist_js_state·has_pluto_hook_features§cell_id$d9c31dfa-d470-11ea-23b2-838975b71f7cdepends_on_disabled_cells§runtime@published_object_keysdepends_on_skipped_cells§errored$962e6b86-d474-11ea-11a6-a1d11e33ae42queued¤logsrunning¦outputbody0.1363555844621221mimetext/plainrootassigneexllast_run_timestampAڭ{persist_js_state·has_pluto_hook_features§cell_id$962e6b86-d474-11ea-11a6-a1d11e33ae42depends_on_disabled_cells§runtimeIpublished_object_keysdepends_on_skipped_cells§errored$03249876-d508-11ea-16bb-fd5afed37a1fqueued¤logsrunning¦outputbodyl
Let's test your formula!
mimetext/htmlrootassigneelast_run_timestampAڭIpersist_js_state·has_pluto_hook_features§cell_id$03249876-d508-11ea-16bb-fd5afed37a1fdepends_on_disabled_cells§runtimezpublished_object_keysdepends_on_skipped_cells§errored$2814a1d4-dcc0-11ea-3d42-f52765e478fequeued¤logsrunning¦outputbody

Hint

For each extra cut, start out with the solution for the previous number. When you add one extra cut, how many new slices do you get?

mimetext/htmlrootassigneelast_run_timestampAڭ!İpersist_js_state·has_pluto_hook_features§cell_id$2814a1d4-dcc0-11ea-3d42-f52765e478fedepends_on_disabled_cells§runtimeӵpublished_object_keysdepends_on_skipped_cells§errored$8b12d200-d474-11ea-3035-01eccf39f917queued¤logsrunning¦outputbody0.14090517628402466mimetext/plainrootassigneelargelast_run_timestampAڭ#persist_js_state·has_pluto_hook_features§cell_id$8b12d200-d474-11ea-3035-01eccf39f917depends_on_disabled_cells§runtime4published_object_keysdepends_on_skipped_cells§errored$6494e270-d503-11ea-38a7-df96e7f0a241queued¤logsrunning¦outputbody1mimetext/plainrootassigneecuts2last_run_timestampAڭ 6persist_js_state·has_pluto_hook_features§cell_id$6494e270-d503-11ea-38a7-df96e7f0a241depends_on_disabled_cells§runtime(xpublished_object_keysdepends_on_skipped_cells§errored$f147b6cc-d4ff-11ea-05ad-6f5b441e5d1bqueued¤logsrunning¦outputbody20.95mimetext/plainrootassigneetwo_medium_costlast_run_timestampAڭ4persist_js_state·has_pluto_hook_features§cell_id$f147b6cc-d4ff-11ea-05ad-6f5b441e5d1bdepends_on_disabled_cells§runtime68published_object_keysdepends_on_skipped_cells§errored$33b1975c-d45c-11ea-035f-ab76e46a31edqueued¤logsrunning¦outputbodyٜ

Keep working on it!

The answer is not quite right.

mimetext/htmlrootassigneelast_run_timestampAڭN'persist_js_state·has_pluto_hook_features§cell_id$33b1975c-d45c-11ea-035f-ab76e46a31eddepends_on_disabled_cells§runtimefpublished_object_keysdepends_on_skipped_cells§errored$1ba2c208-d4ff-11ea-0a8e-e75bf7e1c3e6queued¤logsrunning¦outputbody

Hint

No need to copy these digits yourself - what should we assign to best_value?

mimetext/htmlrootassigneelast_run_timestampAڭpersist_js_state·has_pluto_hook_features§cell_id$1ba2c208-d4ff-11ea-0a8e-e75bf7e1c3e6depends_on_disabled_cells§runtimeصpublished_object_keysdepends_on_skipped_cells§errored$a42e4eb0-d474-11ea-316a-3d864451bc01queued¤logsrunning¦outputbodyٝ

Which size of pizza is the best deal? Write your answer below and assign it to the variable best_value.

mimetext/htmlrootassigneelast_run_timestampAڭypersist_js_state·has_pluto_hook_features§cell_id$a42e4eb0-d474-11ea-316a-3d864451bc01depends_on_disabled_cells§runtimepublished_object_keysdepends_on_skipped_cells§errored$e0cb2822-dcc2-11ea-2c85-5748bfe526dcqueued¤logsrunning¦outputbody]

Have you found the pattern? Write down the formula below:

mimetext/htmlrootassigneelast_run_timestampAڭ)persist_js_state·has_pluto_hook_features§cell_id$e0cb2822-dcc2-11ea-2c85-5748bfe526dcdepends_on_disabled_cells§runtimepublished_object_keysdepends_on_skipped_cells§errored$2eb9a560-d507-11ea-3b8b-9d06678fe131queued¤logsrunning¦outputbodyb

Now, how many pieces can be made with 4 cuts?

mimetext/htmlrootassigneelast_run_timestampAڭpersist_js_state·has_pluto_hook_features§cell_id$2eb9a560-d507-11ea-3b8b-9d06678fe131depends_on_disabled_cells§runtimepublished_object_keysdepends_on_skipped_cells§errored$50f0f6d6-d471-11ea-304e-8f72e7ef9d7equeued¤logsrunning¦outputbody36mimetext/plainrootassigneeAlast_run_timestampAڭpersist_js_state·has_pluto_hook_features§cell_id$50f0f6d6-d471-11ea-304e-8f72e7ef9d7edepends_on_disabled_cells§runtime.published_object_keysdepends_on_skipped_cells§errored$3da812c6-d460-11ea-0170-79fbb6a4347cqueued¤logsrunning¦outputbody8mimetext/plainrootassigneesliceslast_run_timestampAڭyFpersist_js_state·has_pluto_hook_features§cell_id$3da812c6-d460-11ea-0170-79fbb6a4347cdepends_on_disabled_cells§runtime$hpublished_object_keysdepends_on_skipped_cells§errored$5b07b8fe-d475-11ea-01aa-6b88d6ed8a05queued¤logsrunning¦outputbodyن

2. Calculate the cost per area of each pizza:

mimetext/htmlrootassigneelast_run_timestampAڭpersist_js_state·has_pluto_hook_features§cell_id$5b07b8fe-d475-11ea-01aa-6b88d6ed8a05depends_on_disabled_cells§runtimepublished_object_keysdepends_on_skipped_cells§errored$30f0f882-d45c-11ea-2adc-7d84ecf8a7a6queued¤logsrunning¦outputbody10mimetext/plainrootassigneeclast_run_timestampAڭf|persist_js_state·has_pluto_hook_features§cell_id$30f0f882-d45c-11ea-2adc-7d84ecf8a7a6depends_on_disabled_cells§runtime!published_object_keysdepends_on_skipped_cells§errored$f26d50da-d46b-11ea-0c2d-77ca13532b3dqueued¤logsrunning¦outputbodyٜ

Keep working on it!

The answer is not quite right.

mimetext/htmlrootassigneelast_run_timestampAڭpersist_js_state·has_pluto_hook_features§cell_id$f26d50da-d46b-11ea-0c2d-77ca13532b3ddepends_on_disabled_cells§runtimeQpublished_object_keysdepends_on_skipped_cells§errored$16ec3f32-d4ff-11ea-20e2-5bc6dd5db083queued¤logsrunning¦outputbody0.2059189880991436mimetext/plainrootassigneebest_valuelast_run_timestampAڭ;*persist_js_state·has_pluto_hook_features§cell_id$16ec3f32-d4ff-11ea-20e2-5bc6dd5db083depends_on_disabled_cells§runtime$@published_object_keysdepends_on_skipped_cells§errored$d1e3dec0-d507-11ea-1213-d37a9325ee2fqueued¤logsrunning¦outputbodyu

Are you starting to see a pattern? Can you figure out a formula for how many pieces of pizza can be made with "n" cuts? Make a table and fill in the number of pieces for a number of cuts and see if you can find the pattern:

CutsPieces
01
12
24
3
4
mimetext/htmlrootassigneelast_run_timestampAڭ`persist_js_state·has_pluto_hook_features§cell_id$d1e3dec0-d507-11ea-1213-d37a9325ee2fdepends_on_disabled_cells§runtime G7published_object_keysdepends_on_skipped_cells§errored$57f024ae-d500-11ea-1cc4-ed28348fdf93queued¤logsrunning¦outputbody~

Is it a better deal to get two medium pizzas for $5 off or to just buy an extra-large?

mimetext/htmlrootassigneelast_run_timestampAڭ>persist_js_state·has_pluto_hook_features§cell_id$57f024ae-d500-11ea-1cc4-ed28348fdf93depends_on_disabled_cells§runtime.published_object_keysdepends_on_skipped_cells§errored$180c8fdc-d503-11ea-04ca-bf2c07fd1c17queued¤logsrunning¦outputbody(

4. Advanced Problem

A new worker at a pizza shop was getting paid for cutting pizza into pieces. The pieces of pizza could be any size. Calculate the maximum number of pieces the worker could make with two cuts of the pizza.

mimetext/htmlrootassigneelast_run_timestampAڭbpersist_js_state·has_pluto_hook_features§cell_id$180c8fdc-d503-11ea-04ca-bf2c07fd1c17depends_on_disabled_cells§runtimeWpublished_object_keysdepends_on_skipped_cells§errored$444e2fa4-d460-11ea-12aa-57e0576c2d66queued¤logsrunning¦outputbody1mimetext/plainrootassigneepizzaslast_run_timestampAڭpersist_js_state·has_pluto_hook_features§cell_id$444e2fa4-d460-11ea-12aa-57e0576c2d66depends_on_disabled_cells§runtime~published_object_keysdepends_on_skipped_cells§errored$03664f5c-d45c-11ea-21b6-91cd647a07aaqueued¤logsrunning¦outputbody

Mathematics in Julia 🍕

This is an introduction to programming. Let's get started!

Let's make a calculator!

First let's do some simple math with setting a = 2, b = 6 and c = a * b. What will c equal?

Type in the cells (with the coloured background) below and press Shift-Enter or the click the right-arrow button (▶️) to the right to execute the cell after changing the values.

mimetext/htmlrootassigneelast_run_timestampAڭepersist_js_state·has_pluto_hook_features§cell_id$03664f5c-d45c-11ea-21b6-91cd647a07aadepends_on_disabled_cells§runtimeFIȵpublished_object_keysdepends_on_skipped_cells§errored$3823d09e-d474-11ea-194e-59b5805f303bqueued¤logsrunning¦outputbody0.2059189880991436mimetext/plainrootassigneesmalllast_run_timestampAڭ۰persist_js_state·has_pluto_hook_features§cell_id$3823d09e-d474-11ea-194e-59b5805f303bdepends_on_disabled_cells§runtime4published_object_keysdepends_on_skipped_cells§errored$262b312a-d460-11ea-26c5-df30459effc5queued¤logsrunning¦outputbody10mimetext/plainrootassigneepeoplelast_run_timestampAڭgfpersist_js_state·has_pluto_hook_features§cell_id$262b312a-d460-11ea-26c5-df30459effc5depends_on_disabled_cells§runtime"صpublished_object_keysdepends_on_skipped_cells§errored$a05aae8e-d506-11ea-190f-57e9ce53b8b9queued¤logsrunning¦outputbody1mimetext/plainrootassigneecuts3last_run_timestampAڭŏpersist_js_state·has_pluto_hook_features§cell_id$a05aae8e-d506-11ea-190f-57e9ce53b8b9depends_on_disabled_cells§runtime& published_object_keysdepends_on_skipped_cells§errored$a38cb92e-d45e-11ea-2959-05be909befb2queued¤logsrunning¦outputbodyz

Now you have a calculator!

You did multiplication above. Here's how you do other mathematical operations:

OperationType This
add+
subtract-
multiply*
divide/
power^

Pizza Slices

Let's try this out on a problem. Let's say you want to order pizzas for 10 people (people = 10) and each person wants 2.5 slices on average (avg = 2.5). A pizza has 8 slices per pizza (slices = 8). How many pizzas should you order (pizzas = ?)? So we have the following

MeaningVariable
Number of peoplepeople
Average number of slices each person eatsavg
Number of slices on a piece of pizzaslices
mimetext/htmlrootassigneelast_run_timestampAڭ㊰persist_js_state·has_pluto_hook_features§cell_id$a38cb92e-d45e-11ea-2959-05be909befb2depends_on_disabled_cells§runtime_qصpublished_object_keysdepends_on_skipped_cells§errored$19eb2a82-d500-11ea-3782-596adc689382queued¤logsrunning¦outputbody132.73228961416876mimetext/plainrootassigneetwo_medium_arealast_run_timestampAڭߤpersist_js_state·has_pluto_hook_features§cell_id$19eb2a82-d500-11ea-3782-596adc689382depends_on_disabled_cells§runtime4published_object_keysdepends_on_skipped_cells§errored$8700d986-d475-11ea-0d0e-790448cf92baqueued¤logsrunning¦outputbody1

Hint

The diameter of the XL pizza is 17 inches while the diameter of the small pizza is 9 inches. Use the area() function from before to find the area of each and divide them.

mimetext/htmlrootassigneelast_run_timestampAڭypersist_js_state·has_pluto_hook_features§cell_id$8700d986-d475-11ea-0d0e-790448cf92badepends_on_disabled_cells§runtimeVlpublished_object_keysdepends_on_skipped_cells§errored$4dff4b5e-d461-11ea-29c8-d548fdb5f08bqueued¤logsrunning¦outputbody

Edit the equation below to calculate the number of pizzas to order using the variables above for people, avg, and slices:

mimetext/htmlrootassigneelast_run_timestampAڭcpersist_js_state·has_pluto_hook_features§cell_id$4dff4b5e-d461-11ea-29c8-d548fdb5f08bdepends_on_disabled_cells§runtime:spublished_object_keysdepends_on_skipped_cells§errored$637c26fa-d475-11ea-2c5b-2b0f4775b119queued¤logsrunning¦outputbody1mimetext/plainrootassigneesmalls_in_xllast_run_timestampAڭ߰persist_js_state·has_pluto_hook_features§cell_id$637c26fa-d475-11ea-2c5b-2b0f4775b119depends_on_disabled_cells§runtime)Apublished_object_keysdepends_on_skipped_cells§errored$bae0cb62-dcc2-11ea-0667-512e1c407d40queued¤logsrunning¦outputbody1mimetext/plainrootassigneecuts5last_run_timestampAڭ cpersist_js_state·has_pluto_hook_features§cell_id$bae0cb62-dcc2-11ea-0667-512e1c407d40depends_on_disabled_cells§runtime&published_object_keysdepends_on_skipped_cells§errored$0d76d97c-d500-11ea-2433-e96c6fc43b05queued¤logsrunning¦outputbodyR

Calculate the total area of two medium pizzas:

mimetext/htmlrootassigneelast_run_timestampAڭpersist_js_state·has_pluto_hook_features§cell_id$0d76d97c-d500-11ea-2433-e96c6fc43b05depends_on_disabled_cells§runtimebpublished_object_keysdepends_on_skipped_cells§errored$92b4a012-d503-11ea-15a2-1f3a446d3284queued¤logsrunning¦outputbody٠

Now what about 3 cuts across the pizza? What is the maximum number of pieces that can be made with 3 cuts?

mimetext/htmlrootassigneelast_run_timestampAڭ儙persist_js_state·has_pluto_hook_features§cell_id$92b4a012-d503-11ea-15a2-1f3a446d3284depends_on_disabled_cells§runtimeӋpublished_object_keysdepends_on_skipped_cells§errored$3c12f2b4-d471-11ea-2d37-539f061f7cf2queued¤logsrunning¦outputbody6mimetext/plainrootassigneerlast_run_timestampAڭ'persist_js_state·has_pluto_hook_features§cell_id$3c12f2b4-d471-11ea-2d37-539f061f7cf2depends_on_disabled_cells§runtime#Ppublished_object_keysdepends_on_skipped_cells§errored$2ed4bb92-d45c-11ea-0b31-2d8e32ce7b44queued¤logsrunning¦outputbody6mimetext/plainrootassigneeblast_run_timestampAڭOfpersist_js_state·has_pluto_hook_features§cell_id$2ed4bb92-d45c-11ea-0b31-2d8e32ce7b44depends_on_disabled_cells§runtime Xpublished_object_keysdepends_on_skipped_cells§errored$5a8ede88-d507-11ea-30d9-c99a67243781queued¤logsrunning¦outputbody1mimetext/plainrootassigneecuts4last_run_timestampAڭdpersist_js_state·has_pluto_hook_features§cell_id$5a8ede88-d507-11ea-30d9-c99a67243781depends_on_disabled_cells§runtime%published_object_keysdepends_on_skipped_cells§errored$5df7eefc-d507-11ea-0d1f-45b224a04774queued¤logsrunning¦outputbodyٴ

Hint

Draw it out on a piece of paper. You can make more pieces with 4 cuts.

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cell_id$a679bddc-d506-11ea-143a-6d4dcd70e918downstream_cells_mapupstream_cells_map@md_strcuts3$a05aae8e-d506-11ea-190f-57e9ce53b8b9correct$5a6d1a8e-dcbc-11ea-272a-6f769c8d309chint$b8644fb0-daa6-11ea-1e94-9bf46e7b0fad==almost$4119d19e-dcbc-11ea-3ec8-271e88e1afcagetindex$a07e5c3e-d476-11ea-308c-718f8f128334precedence_heuristic cell_id$a07e5c3e-d476-11ea-308c-718f8f128334downstream_cells_mapupstream_cells_map@md_strr$3c12f2b4-d471-11ea-2d37-539f061f7cf2piA2$04b010c0-d473-11ea-1767-136c7e26e122correct$5a6d1a8e-dcbc-11ea-272a-6f769c8d309c^hint$b8644fb0-daa6-11ea-1e94-9bf46e7b0fad!=*==getindex$14158eb0-d45c-11ea-088f-330e45412320precedence_heuristic cell_id$14158eb0-d45c-11ea-088f-330e45412320downstream_cells_mapa$03664f5c-d45c-11ea-21b6-91cd647a07aa$33b1975c-d45c-11ea-035f-ab76e46a31edupstream_cells_map$20a1e9cc-d500-11ea-3d9b-279c71bc20f1precedence_heuristic 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cell_id$6ae748b2-d503-11ea-1c51-6b2df24fd212downstream_cells_mapupstream_cells_map@md_strcuts2$6494e270-d503-11ea-38a7-df96e7f0a241correct$5a6d1a8e-dcbc-11ea-272a-6f769c8d309chint$b8644fb0-daa6-11ea-1e94-9bf46e7b0fad!===getindex$04b010c0-d473-11ea-1767-136c7e26e122precedence_heuristic cell_id$04b010c0-d473-11ea-1767-136c7e26e122downstream_cells_mapA2$a07e5c3e-d476-11ea-308c-718f8f128334upstream_cells_maparea$cb36a9ee-d472-11ea-1835-bf7963137e18r$3c12f2b4-d471-11ea-2d37-539f061f7cf2$d9c31dfa-d470-11ea-23b2-838975b71f7cprecedence_heuristic cell_id$d9c31dfa-d470-11ea-23b2-838975b71f7cdownstream_cells_mapupstream_cells_map@md_strr$3c12f2b4-d471-11ea-2d37-539f061f7cf2getindex$962e6b86-d474-11ea-11a6-a1d11e33ae42precedence_heuristic cell_id$962e6b86-d474-11ea-11a6-a1d11e33ae42downstream_cells_mapxl$1ba2c208-d4ff-11ea-0a8e-e75bf7e1c3e6upstream_cells_maparea$cb36a9ee-d472-11ea-1835-bf7963137e18/$03249876-d508-11ea-16bb-fd5afed37a1fprecedence_heuristic cell_id$03249876-d508-11ea-16bb-fd5afed37a1fdownstream_cells_mapupstream_cells_map@md_strgetindex$2814a1d4-dcc0-11ea-3d42-f52765e478feprecedence_heuristic cell_id$2814a1d4-dcc0-11ea-3d42-f52765e478fedownstream_cells_mapupstream_cells_map@md_strhint$b8644fb0-daa6-11ea-1e94-9bf46e7b0fadgetindex$8b12d200-d474-11ea-3035-01eccf39f917precedence_heuristic cell_id$8b12d200-d474-11ea-3035-01eccf39f917downstream_cells_maplargeupstream_cells_maparea$cb36a9ee-d472-11ea-1835-bf7963137e18/$6494e270-d503-11ea-38a7-df96e7f0a241precedence_heuristic cell_id$6494e270-d503-11ea-38a7-df96e7f0a241downstream_cells_mapcuts2$6ae748b2-d503-11ea-1c51-6b2df24fd212upstream_cells_map$f147b6cc-d4ff-11ea-05ad-6f5b441e5d1bprecedence_heuristic cell_id$f147b6cc-d4ff-11ea-05ad-6f5b441e5d1bdownstream_cells_maptwo_medium_costupstream_cells_map-*$33b1975c-d45c-11ea-035f-ab76e46a31edprecedence_heuristic cell_id$33b1975c-d45c-11ea-035f-ab76e46a31eddownstream_cells_mapupstream_cells_map@md_strcorrect$5a6d1a8e-dcbc-11ea-272a-6f769c8d309cc$30f0f882-d45c-11ea-2adc-7d84ecf8a7a6keep_working$921bba30-dcbc-11ea-13c3-87554722da8ab$2ed4bb92-d45c-11ea-0b31-2d8e32ce7b44+*==a$14158eb0-d45c-11ea-088f-330e45412320getindex$1ba2c208-d4ff-11ea-0a8e-e75bf7e1c3e6precedence_heuristic cell_id$1ba2c208-d4ff-11ea-0a8e-e75bf7e1c3e6downstream_cells_mapupstream_cells_map@md_strgetindexisapproxxl$962e6b86-d474-11ea-11a6-a1d11e33ae42correct$5a6d1a8e-dcbc-11ea-272a-6f769c8d309c!hint$b8644fb0-daa6-11ea-1e94-9bf46e7b0fadbest_value$16ec3f32-d4ff-11ea-20e2-5bc6dd5db083$a42e4eb0-d474-11ea-316a-3d864451bc01precedence_heuristic cell_id$a42e4eb0-d474-11ea-316a-3d864451bc01downstream_cells_mapupstream_cells_map@md_strgetindex$e0cb2822-dcc2-11ea-2c85-5748bfe526dcprecedence_heuristic cell_id$e0cb2822-dcc2-11ea-2c85-5748bfe526dcdownstream_cells_mapupstream_cells_map@md_strgetindex$2eb9a560-d507-11ea-3b8b-9d06678fe131precedence_heuristic cell_id$2eb9a560-d507-11ea-3b8b-9d06678fe131downstream_cells_mapupstream_cells_map@md_strgetindex$50f0f6d6-d471-11ea-304e-8f72e7ef9d7eprecedence_heuristic cell_id$50f0f6d6-d471-11ea-304e-8f72e7ef9d7edownstream_cells_mapA$5c4a5f22-d471-11ea-260f-9338d8bfa2d6upstream_cells_map^r$3c12f2b4-d471-11ea-2d37-539f061f7cf2$3da812c6-d460-11ea-0170-79fbb6a4347cprecedence_heuristic cell_id$3da812c6-d460-11ea-0170-79fbb6a4347cdownstream_cells_mapslices$a38cb92e-d45e-11ea-2959-05be909befb2$f26d50da-d46b-11ea-0c2d-77ca13532b3dupstream_cells_map$5b07b8fe-d475-11ea-01aa-6b88d6ed8a05precedence_heuristic cell_id$5b07b8fe-d475-11ea-01aa-6b88d6ed8a05downstream_cells_mapupstream_cells_map@md_strgetindex$30f0f882-d45c-11ea-2adc-7d84ecf8a7a6precedence_heuristic 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cell_id$d1e3dec0-d507-11ea-1213-d37a9325ee2fdownstream_cells_mapupstream_cells_map@md_strgetindex$57f024ae-d500-11ea-1cc4-ed28348fdf93precedence_heuristic cell_id$57f024ae-d500-11ea-1cc4-ed28348fdf93downstream_cells_mapupstream_cells_map@md_strgetindex$180c8fdc-d503-11ea-04ca-bf2c07fd1c17precedence_heuristic cell_id$180c8fdc-d503-11ea-04ca-bf2c07fd1c17downstream_cells_mapupstream_cells_map@md_strgetindex$444e2fa4-d460-11ea-12aa-57e0576c2d66precedence_heuristic cell_id$444e2fa4-d460-11ea-12aa-57e0576c2d66downstream_cells_mappizzas$f26d50da-d46b-11ea-0c2d-77ca13532b3dupstream_cells_map$03664f5c-d45c-11ea-21b6-91cd647a07aaprecedence_heuristic cell_id$03664f5c-d45c-11ea-21b6-91cd647a07aadownstream_cells_mapupstream_cells_map@md_strb$2ed4bb92-d45c-11ea-0b31-2d8e32ce7b44a$14158eb0-d45c-11ea-088f-330e45412320getindex$3823d09e-d474-11ea-194e-59b5805f303bprecedence_heuristic cell_id$3823d09e-d474-11ea-194e-59b5805f303bdownstream_cells_mapsmall$16ec3f32-d4ff-11ea-20e2-5bc6dd5db083upstream_cells_maparea$cb36a9ee-d472-11ea-1835-bf7963137e18/$262b312a-d460-11ea-26c5-df30459effc5precedence_heuristic cell_id$262b312a-d460-11ea-26c5-df30459effc5downstream_cells_mappeople$a38cb92e-d45e-11ea-2959-05be909befb2$f26d50da-d46b-11ea-0c2d-77ca13532b3dupstream_cells_map$a05aae8e-d506-11ea-190f-57e9ce53b8b9precedence_heuristic cell_id$a05aae8e-d506-11ea-190f-57e9ce53b8b9downstream_cells_mapcuts3$a679bddc-d506-11ea-143a-6d4dcd70e918upstream_cells_map$a38cb92e-d45e-11ea-2959-05be909befb2precedence_heuristic cell_id$a38cb92e-d45e-11ea-2959-05be909befb2downstream_cells_mapupstream_cells_map@md_strslices$3da812c6-d460-11ea-0170-79fbb6a4347cavg$2ea7f162-d460-11ea-0e8e-25340e2e64dapeople$262b312a-d460-11ea-26c5-df30459effc5getindex$19eb2a82-d500-11ea-3782-596adc689382precedence_heuristic cell_id$19eb2a82-d500-11ea-3782-596adc689382downstream_cells_maptwo_medium_areaupstream_cells_maparea$cb36a9ee-d472-11ea-1835-bf7963137e18*$8700d986-d475-11ea-0d0e-790448cf92baprecedence_heuristic cell_id$8700d986-d475-11ea-0d0e-790448cf92badownstream_cells_mapupstream_cells_map@md_strsmalls_in_xl$637c26fa-d475-11ea-2c5b-2b0f4775b119>islesspieps<-/^+hint$b8644fb0-daa6-11ea-1e94-9bf46e7b0fad*==getindex$4dff4b5e-d461-11ea-29c8-d548fdb5f08bprecedence_heuristic cell_id$4dff4b5e-d461-11ea-29c8-d548fdb5f08bdownstream_cells_mapupstream_cells_map@md_strgetindex$637c26fa-d475-11ea-2c5b-2b0f4775b119precedence_heuristic cell_id$637c26fa-d475-11ea-2c5b-2b0f4775b119downstream_cells_mapsmalls_in_xl$8700d986-d475-11ea-0d0e-790448cf92baupstream_cells_map$bae0cb62-dcc2-11ea-0667-512e1c407d40precedence_heuristic cell_id$bae0cb62-dcc2-11ea-0667-512e1c407d40downstream_cells_mapcuts5$8cada086-daa5-11ea-220c-0f660938b604upstream_cells_map$0d76d97c-d500-11ea-2433-e96c6fc43b05precedence_heuristic cell_id$0d76d97c-d500-11ea-2433-e96c6fc43b05downstream_cells_mapupstream_cells_map@md_strgetindex$92b4a012-d503-11ea-15a2-1f3a446d3284precedence_heuristic cell_id$92b4a012-d503-11ea-15a2-1f3a446d3284downstream_cells_mapupstream_cells_map@md_strgetindex$3c12f2b4-d471-11ea-2d37-539f061f7cf2precedence_heuristic cell_id$3c12f2b4-d471-11ea-2d37-539f061f7cf2downstream_cells_mapr$d9c31dfa-d470-11ea-23b2-838975b71f7c$50f0f6d6-d471-11ea-304e-8f72e7ef9d7e$5c4a5f22-d471-11ea-260f-9338d8bfa2d6$04b010c0-d473-11ea-1767-136c7e26e122$a07e5c3e-d476-11ea-308c-718f8f128334upstream_cells_map$2ed4bb92-d45c-11ea-0b31-2d8e32ce7b44precedence_heuristic cell_id$2ed4bb92-d45c-11ea-0b31-2d8e32ce7b44downstream_cells_mapb$03664f5c-d45c-11ea-21b6-91cd647a07aa$33b1975c-d45c-11ea-035f-ab76e46a31edupstream_cells_map$5a8ede88-d507-11ea-30d9-c99a67243781precedence_heuristic cell_id$5a8ede88-d507-11ea-30d9-c99a67243781downstream_cells_mapcuts4$5df7eefc-d507-11ea-0d1f-45b224a04774upstream_cells_map$5df7eefc-d507-11ea-0d1f-45b224a04774precedence_heuristic cell_id$5df7eefc-d507-11ea-0d1f-45b224a04774downstream_cells_mapupstream_cells_map@md_str")"""metadatashow_logsèdisabled®skip_as_script«code_folded$6ae748b2-d503-11ea-1c51-6b2df24fd212cell_id$6ae748b2-d503-11ea-1c51-6b2df24fd212codehif cuts2 != 4 hint(md"The cuts must go all the way across the pizza!") else correct(md"Awesome!") endmetadatashow_logsèdisabled®skip_as_script«code_folded$04b010c0-d473-11ea-1767-136c7e26e122cell_id$04b010c0-d473-11ea-1767-136c7e26e122codeA2 = area(r)metadatashow_logsèdisabled®skip_as_script«code_folded$d9c31dfa-d470-11ea-23b2-838975b71f7ccell_id$d9c31dfa-d470-11ea-23b2-838975b71f7ccodemd"""## Writing your own math functions The area of a pizza is ``A = \pi r^2``. Lets try calculating the area of a pizza that has a radius of $r inches (**r = $r**). Type **pi** to get the value of ``\pi`` and **r^2** to get the radius squared. """metadatashow_logsèdisabled®skip_as_script«code_folded$962e6b86-d474-11ea-11a6-a1d11e33ae42cell_id$962e6b86-d474-11ea-11a6-a1d11e33ae42codexl = 30.95 / area(17)metadatashow_logsèdisabled®skip_as_script«code_folded$03249876-d508-11ea-16bb-fd5afed37a1fcell_id$03249876-d508-11ea-16bb-fd5afed37a1fcode&md"""##### Let's test your formula!"""metadatashow_logsèdisabled®skip_as_script«code_folded$2814a1d4-dcc0-11ea-3d42-f52765e478fecell_id$2814a1d4-dcc0-11ea-3d42-f52765e478fecodeَhint(md"For each extra cut, start out with the solution for the previous number. When you add one extra cut, how many new slices do you get?")metadatashow_logsèdisabled®skip_as_script«code_folded$8b12d200-d474-11ea-3035-01eccf39f917cell_id$8b12d200-d474-11ea-3035-01eccf39f917codelarge = 24.90 / area(15)metadatashow_logsèdisabled®skip_as_script«code_folded$6494e270-d503-11ea-38a7-df96e7f0a241cell_id$6494e270-d503-11ea-38a7-df96e7f0a241codecuts2 = 1metadatashow_logsèdisabled®skip_as_script«code_folded$f147b6cc-d4ff-11ea-05ad-6f5b441e5d1bcell_id$f147b6cc-d4ff-11ea-05ad-6f5b441e5d1bcodetwo_medium_cost = 20.95 * 1 - 0metadatashow_logsèdisabled®skip_as_script«code_folded$33b1975c-d45c-11ea-035f-ab76e46a31edcell_id$33b1975c-d45c-11ea-035f-ab76e46a31edcodeAif c == a * b correct(md"""**Great!** The value of c = $c. So you now have a simple computer! Now go back above and change the value of **a = $a** to **a = $(a + 3)** and press **`Shift-Enter`**. What is the new value of **c**? Notice how all the values get updated in this notebook! """) else keep_working() endmetadatashow_logsèdisabled®skip_as_script«code_folded$1ba2c208-d4ff-11ea-0a8e-e75bf7e1c3e6cell_id$1ba2c208-d4ff-11ea-0a8e-e75bf7e1c3e6codeٌif !isapprox(best_value, xl) hint(md"No need to copy these digits yourself - what should we assign to **best_value**?") else correct() endmetadatashow_logsèdisabled®skip_as_script«code_folded$a42e4eb0-d474-11ea-316a-3d864451bc01cell_id$a42e4eb0-d474-11ea-316a-3d864451bc01codepmd"Which size of pizza is the best deal? Write your answer below and assign it to the variable **best_value**."metadatashow_logsèdisabled®skip_as_script«code_folded$e0cb2822-dcc2-11ea-2c85-5748bfe526dccell_id$e0cb2822-dcc2-11ea-2c85-5748bfe526dccode=md"Have you found the pattern? Write down the formula below:"metadatashow_logsèdisabled®skip_as_script«code_folded$2eb9a560-d507-11ea-3b8b-9d06678fe131cell_id$2eb9a560-d507-11ea-3b8b-9d06678fe131code5md"Now, how many pieces can be made with **4 cuts**?"metadatashow_logsèdisabled®skip_as_script«code_folded$50f0f6d6-d471-11ea-304e-8f72e7ef9d7ecell_id$50f0f6d6-d471-11ea-304e-8f72e7ef9d7ecodeA = r^2metadatashow_logsèdisabled®skip_as_script«code_folded$3da812c6-d460-11ea-0170-79fbb6a4347ccell_id$3da812c6-d460-11ea-0170-79fbb6a4347ccodeslices = 8metadatashow_logsèdisabled®skip_as_script«code_folded$5b07b8fe-d475-11ea-01aa-6b88d6ed8a05cell_id$5b07b8fe-d475-11ea-01aa-6b88d6ed8a05code:md"""### 2. Calculate the cost per area of each pizza: """metadatashow_logsèdisabled®skip_as_script«code_folded$30f0f882-d45c-11ea-2adc-7d84ecf8a7a6cell_id$30f0f882-d45c-11ea-2adc-7d84ecf8a7a6codec = 10metadatashow_logsèdisabled®skip_as_script«code_folded$f26d50da-d46b-11ea-0c2d-77ca13532b3dcell_id$f26d50da-d46b-11ea-0c2d-77ca13532b3dcodeqif pizzas == people * avg / slices almost(md"Yes that is right! But we should round $pizzas up to an integer, otherwise the restaurant will be confused. Try `ceil(...)`!") elseif pizzas == ceil(people * avg / slices) correct(md"Yes that is right, that's a lot of pizza! Excellent, you figured out we need to round up the number of pizzas!") else keep_working() endmetadatashow_logsèdisabled®skip_as_script«code_folded$16ec3f32-d4ff-11ea-20e2-5bc6dd5db083cell_id$16ec3f32-d4ff-11ea-20e2-5bc6dd5db083codebest_value = smallmetadatashow_logsèdisabled®skip_as_script«code_folded$d1e3dec0-d507-11ea-1213-d37a9325ee2fcell_id$d1e3dec0-d507-11ea-1213-d37a9325ee2fcode;md"Are you starting to see a pattern? Can you figure out a formula for how many pieces of pizza can be made with \"n\" cuts? Make a table and fill in the number of pieces for a number of cuts and see if you can find the pattern: Cuts | Pieces :--- | ------: 0 | 1 1 | 2 2 | 4 3 | 4 | "metadatashow_logsèdisabled®skip_as_script«code_folded$57f024ae-d500-11ea-1cc4-ed28348fdf93cell_id$57f024ae-d500-11ea-1cc4-ed28348fdf93code_md"""Is it a better deal to get two medium pizzas for \$5 off or to just buy an extra-large?"""metadatashow_logsèdisabled®skip_as_script«code_folded$180c8fdc-d503-11ea-04ca-bf2c07fd1c17cell_id$180c8fdc-d503-11ea-04ca-bf2c07fd1c17codemd"""### 4. Advanced Problem A new worker at a pizza shop was getting paid for cutting pizza into pieces. The pieces of pizza could be any size. Calculate the maximum number of pieces the worker could make with two cuts of the pizza."""metadatashow_logsèdisabled®skip_as_script«code_folded$444e2fa4-d460-11ea-12aa-57e0576c2d66cell_id$444e2fa4-d460-11ea-12aa-57e0576c2d66codepizzas = 1metadatashow_logsèdisabled®skip_as_script«code_folded$03664f5c-d45c-11ea-21b6-91cd647a07aacell_id$03664f5c-d45c-11ea-21b6-91cd647a07aacodemd"# Mathematics in Julia 🍕 This is an introduction to programming. Let's get started! ## Let's make a calculator! First let's do some simple math with setting **a = $a**, **b = $b** and **c = a * b**. What will **c** equal? Type in the cells (with the coloured background) below and press **`Shift-Enter`** or the click the right-arrow button (▶️) to the right to execute the cell after changing the values."metadatashow_logsèdisabled®skip_as_script«code_folded$3823d09e-d474-11ea-194e-59b5805f303bcell_id$3823d09e-d474-11ea-194e-59b5805f303bcodesmall = 13.10 / area(9)metadatashow_logsèdisabled®skip_as_script«code_folded$262b312a-d460-11ea-26c5-df30459effc5cell_id$262b312a-d460-11ea-26c5-df30459effc5codepeople = 10metadatashow_logsèdisabled®skip_as_script«code_folded$a05aae8e-d506-11ea-190f-57e9ce53b8b9cell_id$a05aae8e-d506-11ea-190f-57e9ce53b8b9codecuts3 = 1metadatashow_logsèdisabled®skip_as_script«code_folded$a38cb92e-d45e-11ea-2959-05be909befb2cell_id$a38cb92e-d45e-11ea-2959-05be909befb2codemd"""### Now you have a calculator! You did multiplication above. Here's how you do other mathematical operations: Operation | Type This :------------ | :-------------: add | + subtract | - multiply | * divide | / power | ^ ### Pizza Slices Let's try this out on a problem. Let's say you want to order pizzas for $people people (**people = $people**) and each person wants $avg slices on average (**avg = $avg**). A pizza has $slices slices per pizza (**slices = $slices**). How many pizzas should you order (**pizzas = ?**)? So we have the following Meaning | Variable :------ | :--------: Number of people | people Average number of slices each person eats | avg Number of slices on a piece of pizza | slices """metadatashow_logsèdisabled®skip_as_script«code_folded$19eb2a82-d500-11ea-3782-596adc689382cell_id$19eb2a82-d500-11ea-3782-596adc689382codetwo_medium_area = 1 * area(13)metadatashow_logsèdisabled®skip_as_script«code_folded$8700d986-d475-11ea-0d0e-790448cf92bacell_id$8700d986-d475-11ea-0d0e-790448cf92bacodelet ans = (pi * (17 / 2)^2) / (pi * (9 / 2)^2) if smalls_in_xl == 1 hint(md"""The diameter of the XL pizza is 17 inches while the diameter of the small pizza is 9 inches. Use the **area()** function from before to find the area of each and divide them.""") elseif smalls_in_xl < ans - 4 * eps(ans) md"""Keep trying, your answer is too low.""" elseif smalls_in_xl > ans + 4 * eps(ans) md"""Keep trying, your answer is too high.""" else md"""**Great!** You got it right. Let's move on.""" end endmetadatashow_logsèdisabled®skip_as_script«code_folded$4dff4b5e-d461-11ea-29c8-d548fdb5f08bcell_id$4dff4b5e-d461-11ea-29c8-d548fdb5f08bcodeىmd"Edit the equation below to calculate the number of pizzas to order using the variables above for **people**, **avg**, and **slices**:"metadatashow_logsèdisabled®skip_as_script«code_folded$637c26fa-d475-11ea-2c5b-2b0f4775b119cell_id$637c26fa-d475-11ea-2c5b-2b0f4775b119codesmalls_in_xl = 1metadatashow_logsèdisabled®skip_as_script«code_folded$bae0cb62-dcc2-11ea-0667-512e1c407d40cell_id$bae0cb62-dcc2-11ea-0667-512e1c407d40codecuts5 = 1metadatashow_logsèdisabled®skip_as_script«code_folded$0d76d97c-d500-11ea-2433-e96c6fc43b05cell_id$0d76d97c-d500-11ea-2433-e96c6fc43b05code2md"Calculate the total area of two medium pizzas:"metadatashow_logsèdisabled®skip_as_script«code_folded$92b4a012-d503-11ea-15a2-1f3a446d3284cell_id$92b4a012-d503-11ea-15a2-1f3a446d3284codesmd"Now what about 3 cuts across the pizza? What is the maximum number of pieces that can be made with **3 cuts**?"metadatashow_logsèdisabled®skip_as_script«code_folded$3c12f2b4-d471-11ea-2d37-539f061f7cf2cell_id$3c12f2b4-d471-11ea-2d37-539f061f7cf2coder = 6metadatashow_logsèdisabled®skip_as_script«code_folded$2ed4bb92-d45c-11ea-0b31-2d8e32ce7b44cell_id$2ed4bb92-d45c-11ea-0b31-2d8e32ce7b44codeb = 6metadatashow_logsèdisabled®skip_as_script«code_folded$5a8ede88-d507-11ea-30d9-c99a67243781cell_id$5a8ede88-d507-11ea-30d9-c99a67243781codecuts4 = 1metadatashow_logsèdisabled®skip_as_script«code_folded$5df7eefc-d507-11ea-0d1f-45b224a04774cell_id$5df7eefc-d507-11ea-0d1f-45b224a04774codeYif cuts4 == 11 correct(md"That was a tough question. How did you figure it out? You tried hard.") elseif cuts4 < 10 hint(md"Draw it out on a piece of paper. You can make more pieces with 4 cuts.") elseif cuts4 < 11 hint(md"Getting close but you can make more pieces with 4 cuts.") else hint(md"That is too high. Only straight lines!") endmetadatashow_logsèdisabled®skip_as_script«code_folded$b8644fb0-daa6-11ea-1e94-9bf46e7b0fadcell_id$b8644fb0-daa6-11ea-1e94-9bf46e7b0fadcodeFhint(text) = Markdown.MD(Markdown.Admonition("hint", "Hint", [text]));metadatashow_logsèdisabled®skip_as_script«code_foldedënotebook_id$ca9274f0-b8ad-11f1-8dd6-8f565dbb3b75in_temp_dir¨metadatafrontmatterlicense_urlghttps://github.com/JuliaPluto/featured/blob/2a6a9664e5428b37abe4957c1dca0994f4a8b7fd/LICENSES/UnlicenseauthornamePluto.jlurlhttps://github.com/JuliaPlutoimagedhttps://user-images.githubusercontent.com/6933510/174066114-bc76964d-6ed1-491a-baa0-5063e3b08a17.pngorder2tagsbasicclassiclicenseUnlicensedescription-Learn mathematics in Julia using pizzas! 🍕