Problem Solving

Question

Dear Wyzant,

I am confused about the question it says that A 6-inch personal pizza has 630 calories, with 240 of those from fat. A 14-inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 14-inch pizza. Hint... must use Area = Pi*r^2 proportions to solve this problem... DO NOT SOLVE BY PIECE.

Sincerely,

Abigail

Answer 1

Area of a 14 inch pizza is pi(14)^2 = 196pi square inches

Area of a 6 inch pizza is pi(6)^2 = 36pi square inches

C/630 = 196pi/36pi = 196/36 = 49/9

C = 630(49)/9= 3430 calories in a 14 inch pizza

one slice of the 14 inch pizza has 3430/8 = 428 3/4 calories

Area of a slice = (1/8)196pi = 49pi/2

S/630 = (49pi/2)/36pi = 49/72

S= 630(49)/72 = 428 3/4 = calories in one slice of the 14 inch pizza