Wednesday, April 9, 2014

Pizza Project

Pizza… Which one would you order?
Is it a better deal to order a large pizza, even if you don’t want to eat it all?  
Compare the two pizzas below and determine which one is a better deal.  You may want to discuss what “better deal” means with your partner or group.  If you need to, you may research how to figure this out.  Show your work and write up a brief answer below, supported by the math you have done.

Large Small
12 inch pizza for $10.99 9 inch pizza for $7.99
Show your work and write up a brief answer, backed up by your math.

Part 1
I think what it means with a better deal is which pizza would be the best one to buy regardless how much time would it take for you to eat it.

What you need to know what is the area of the pizza and how much is each square inch.

Areas:
Large: 6 squared x π = 113/ 11 ÷ 113 = 0.1
Small: 4.5 squared x π = 63.6/ 8 ÷ 63.6 = 0.12

The better deal is the larger pizza since it costs less than the smaller pizza.

Part 2

A large pizza has a circumference of about 66.9 inches and costs $13.85.
A small pizza has a circumference of about 50.2 inches and costs $9.50.
Compare the two pizzas to find out which one is a better deal.  Explain your answer carefully.

Large: 10.65 squared x π = 356.14/ 13.85 ÷ 356.14 = 0.03
Small: 7.99 squared x π = 63.84/ 9.50 ÷ 63.84 = 0.15

 The best option is the larger pizza since it costs less than the smaller.

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I chose this artifact because it has my best work. In class I did many equations and projects but the pizza project was the one I did the best. I worked very hard and I spent a lot of time making sure that it was correct. In fact, when I was researching through my previous projects to make sure I was doing the right equation, I saw how I improved in my work, especially now that there is new content and it is harder than previous quizzes and projects, since there are many decimals and high numbers.

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