Use 3.14 as pi. show your work in terms of area of pizza per dollar.

Question

a small pizza costs $3.50 and a large pizza costs $11. The small pizza diameter is 16 and the diameter of the larger pizza is 30.
The area of the small pizza is 200.96 cm2 and the area of the large pizza is 706.5. John wants to buy the largest pizza possible but at the lowest amount of money. which pizza should he buy?

Answer 1

To find the area of a pizza, we use the formula A = (pi/4)d^2, where A is the area and d is the diameter.

For the small pizza: A = (3.14/4)(16^2) = 200.96 cm2
Price per cm2 for the small pizza: 3.5/200.96 = 0.0174 dollars/cm2

For the large pizza: A = (3.14/4)(30^2) = 706.5 cm2
Price per cm2 for the large pizza: 11/706.5 = 0.0156 dollars/cm2

Therefore, John should buy the larger pizza even though it costs more, because he gets more pizza per dollar.