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Mark wants to order a pizza. Which is the better deal? Explain.



Donnies's Pizza Palace. 1st pizza: Diameter(in.) 12 Cost ($) 10


2nd pizza: Diameter(in.) 18 Cost($) 20

Verified Answer :

Question:

Mark wants to order a pizza. Complete the explanation for which is the better deal. Round your answer to the nearest cent. Use 3.14 for π.


Donnie's Pizza Palace

Diameter (in.)   14  22

Cost ($) 10 20

Answer/Step-by-step explanation:


Find the area of the 14-in pizza.

A = πr²

 Use the formula.

A = π(7)²

 Substitute. Use 7 for r.

A ≈ 3.14 × 7²

 Substitute. Use 3.14 for π.

A ≈ 3.14 × 49 Evaluate the power.

A ≈ 153.86 Multiply.

The area of the 14-in pizza is about 153.86 in²

Find the area of the 22-in pizza.

A = πr²  

 Use the formula.

A = π(11)²  

 Substitute. Use 11 for r.

A ≈ 3.14 × 11

 Substitute. Use 3.14 for π.

A ≈ 3.14 × 121            Evaluate the power.

A ≈ 379.94           Multiply.

The area of the 22-in pizza is about 379.94 in²  .

Convert the cost from dollars to cents for each pizza. There are 100 cents in a dollar.

10 × 100 = 1,000

20 × 100 = 2,000

The 14-in pizza costs 1,000¢.

The 22-in pizza costs 2,000¢.

Find the cost per square inch of each pizza. Divide the cost (cents) by the area of each pizza.

1,000 ÷ 153.86 ≈ 6

2,000 ÷ 379.94 ≈ 5

The 14-inch pizza costs about 6¢ per square inch.

The 22-inch pizza costs about 5¢ per square inch.

The 22-inch pizza is a better deal.

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