Solve the problem.
-Jumps delivers only cheese pizzas. Their 15-inch round pizza is $7.99 and their new square 2-foot By 2-foot pizza is also $7.99. If $2.00 is taken off every order of the square pizza, which is the Better buy? What is the price per square inch of the better buy? (Use 3.14 for π.)
A) 2-foot square; $1.50
B) 15-inch round; $0.05
C) 15-inch round; $0.01
D) 2-foot square; $0.01

Question

Quizplus · Accepted Answer

First, calculate the area of both pizzas to compare their sizes. The round pizza has a diameter of 15 inches, so its radius is 7.5 inches. Its area is πr^2 = 3.14 * (7.5)^2 ≈ 176.625 square inches. The square pizza is 2 feet by 2 feet, or 24 inches by 24 inches, so its area is 24 * 24 = 576 square inches. The round pizza costs $7.99 for 176.625 square inches, and the square pizza costs $7.99 - $2.00 = $5.99 for 576 square inches. To find the price per square inch, divide the price by the area for each. For the round pizza: $7.99 / 176.625 ≈ $0.045 per square inch. For the square pizza: $5.99 / 576 ≈ $0.0104 per square inch. Therefore, the square pizza is the better buy, and its price per square inch is approximately $0.01, making option D correct.

Solve the Problem. -Jumps Delivers Only Cheese Pizzas. Their 15-Inch Round Pizza Is