Respuesta :
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.
