Question

a 6 inch personal pizza has 600 calories, with 240 of those from fat. a 12 inch pizza is cut into 8 slices. estimate the number of calories in one slice of a 12 inch pizza. \square calories round your answer to the nearest calorie. question help: video message instructor

Explanation:

Step1: Find the area ratio of the two pizzas

The area of a circle is $A = \pi r^2$. For a 6 - inch pizza, the radius $r_1=\frac{6}{2}=3$ inches, and its area $A_1=\pi\times3^2 = 9\pi$. For a 12 - inch pizza, the radius $r_2=\frac{12}{2} = 6$ inches, and its area $A_2=\pi\times6^2=36\pi$. The ratio of the area of the 12 - inch pizza to the 6 - inch pizza is $\frac{A_2}{A_1}=\frac{36\pi}{9\pi}=4$.

Step2: Calculate the total calories in the 12 - inch pizza

Since the 6 - inch pizza has 600 calories, the 12 - inch pizza (with 4 times the area) will have $600\times4 = 2400$ calories.

Step3: Find the calories per slice

The 12 - inch pizza is cut into 8 slices, so the number of calories per slice is $\frac{2400}{8}=300$.

Answer:

300