Question

You are ordering a pizza and you have two choices: a slice from a large pizza with a diameter of 22 inches or an entire personal-pizza that has a diameter of 6 inches. The slice costs $4.95, and the smaller pizza costs $3.75. Assuming that the large pizza is cut into 8 slices, will you get more pizza for your money by buying one slice of the larger pizza or by buying the personal-size pizza?

Answer 1

The slice will get more pizza for your money.

Explanation:

(slice)9.59>(personal)7.53

Answer 2

The slice will get more pizza for your money.

Explanation:

Given that,

The diameter of larger pizza = d1 = 22 inches

The diameter of small pizza = d2 = 6 inches

The slice cost of large pizza = p1 = 4.95$

The cost of small pizza = p2 = 3.75$

First, we will find out the area of both options:

The area of large pizza would be π
`((d)/(2) )^(2)`

=>
`3.14 * ((22)/(2) )^(2)`

=> 380. 13 square inches.

However, the pizza is divided in 8 slices, therefore the area of one slice would be = 380.13/8 = a1 = 47.51 square inches

The value for money would be = a1/p1

= 47.51/ 4.95

= 9.59

Similarly, the area (a2) of small pizza would be:

=>
`3.14 * ((6)/(2))^(2)`

=> 28.27 square inches

The value for money for small pizza would be = a2/p2

= 28.27/ 3.75

= 7.53

Therefore, the slice will get more pizza for your money.