Question

Chicago Pizza charges $10.49 for a medium 14" pepperoni pizza and NY Pizza charges $20.99 for an x-large 18" pepperoni pizza.

Question #1. Find the cost per square inch of the Chicago Pizza rounded to the nearest cent.


A. $0.07 per square inch

B. $0.02 per square inch

C. $0.24 per square inch

D. $0.08 per square inch

Answer 1

A; The cost is $0.07 per
`inch^(2)`

Explanation:

In this question, we are asked to calculate the cost of the Chicago pizza per square inch rounded to the nearest cent.

Firstly, we will need to calculate the area occupied by the 14 inch medium pepperoni pizza made by Chicago pizza

Since the pizza is circular in shape, we use the formula for the area of a circle to calculate its area in square inch

Mathematically, the area of a circle is equal to π
`r^(2)` . Here, our r is half the size of the pizza as the 14 inch represents the full length of the pizza across the center of the pizza = 7 inch

The area is thus = 22/7 × 7 × 7 = 154
`inch^(2)`

Now, since the full pizza costs $10.49, the cost of the pizza per
`inch^(2)` is 10.49/154 = 0.068 = $0.07 per
`inch^(2)`