Given:
Number calories in a 6-inch pizza = 640 calories
For the pizza of 6 inch
[tex]A=\pi(3)^2=9\pi[/tex]For the pizza of 12 inch
[tex]A=\pi(6)^2=36\pi[/tex]Number calories in a 6-inch pizza = 640 calories, therefore:
[tex]\frac{A_{6\text{ inch}}}{A_{12\text{ inch}}}=\frac{640}{x}[/tex]Substitute:
[tex]\begin{gathered} \frac{9\pi}{36\pi}=\frac{640}{x} \\ Simplify \\ \frac{1}{4}=\frac{640}{x} \end{gathered}[/tex]And solve for x:
[tex]\begin{gathered} 1\cdot x=4\cdot640 \\ x=2560 \end{gathered}[/tex]Now, Estimate the number of calories in one slice of a 12 inch pizza:
[tex]\frac{2560}{8}=320[/tex]Answer: 320 calories
