# Which pizza is a better buy: large with 16-inch-diameter for $15 or medium with 8-inch-diameter for $7.50?

Date of Exam

Subject

**Problem**

Which of the following pizzas is a better buy: a large pizza with 16-inch diameter for \$15 or a medium pizza with an 8-inch diameter for \$7.50? What is the cost per square inch of the better pizza?

A. medium pizza: \$0.07/in.^{2} |
C. medium pizza: \$0.15/in.^{2} |

B. large pizza: \$0.07/in.^{2} |
D. large pizza: \$0.15/in.^{2} |

**Answer Key**

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[ B ]

**Solution**

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$\text{cost per square inch} = \dfrac{\text{Price}}{\text{Area}}$

$\text{cost per square inch} = \dfrac{15}{\frac{1}{4}\pi (16^2)}$
$\text{cost per square inch} = \dfrac{7.50}{\frac{1}{4}\pi (8^2)}$

Large pizza:

$\text{cost per square inch} = \$0.075/\text{in.}^2$

Medium pizza:

$\text{cost per square inch} = \$0.149/\text{in.}^2$

The better buy is the large pizza at \$0.075/in.^{2} only ← *answer*

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