Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.1 - Ratios and Proportions - Problem Set 4.1: 17

Answer

The price per square inch of the pizza is 0.08 dollars.

Work Step by Step

Because the diameter is 14 inch, the radius of the pizza is $\frac{14}{2}$ = 7 inch. The area of the pizza can be found using the formula : Area = $\pi$ $\times$ $r^{2}$, where r = radius. So, Area = $\pi$ $\times$ $7^{2}$ Area = 49$\pi$ square inches. Assuming that $\pi$ = 3.14, the area equals 3.14$\times$ 49 = 153.86 square inches This pizza costs 13 dollars. To find the price per square inch, we need to divide the price of the pizza by the area. So, $\frac{13.00\ dollars}{153.86}$ = 0.08 dollars. The price per square inch of the pizza is 0.08 dollars.
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