Question

Part c when sizes of pizzas are quoted in inches, the number quoted is the diameter of the pizza. a restaurant advertises an 8-inch "personal pizza." if this 8-inch pizza is the right size for one person, how many people can be fed by a large 16-inch pizza? express your answer numerically. view available hint(s)

Answer 1

uh, i think this one is "two people", even though a 16 inch pizza is, in my opinion, more than enough. sorry if incorrect.

Answer 2

The number of people it feeds depends on the area of the pizza.
We must find the area of an 8-inch pizza and the area of a 16-inch pizza.


A = pi*r^2
8-inch pizza:
diameter = 8 inchesradius = 4 inches
A = pi * (4 in)^2 = 16pi in^2
16-inch pizza:
diameter = 16 inchesradius = 8 inches
A = pi * (8 in)^2 = 64pi in^2
An 8-inch pizza has an area of 16pi in^2.
A 16-inch pizza has an area of 64pi in^2.

How many times greater is the area of the 16-inch pizza than the area of the 8-inch pizza?
ratio = (64pi in^2)/(16pi in^2) = 64/16 = 4
A 16-inch pizza has 4 times the area of an 8-inch pizza.
Since an 8-inch pizza feeds one person, a 16-inch pizza feeds 4 people.