Question

Big Bob’s Pizza is having a special on pizza and is offering two different choices:

Choice #1: One slice of pizza from a pizza with a 22 inch diameter and is cut into 8 slices. The cost is $4.95.
Choice #2: An entire personal-size pizza that has a diameter of 6 inches. The cost is $3.75.

Which choice will give you more pizza for your money? Justify your answer using numbers and words.

Answer 1

The Choice N#1 will give more pizza for your money

Explanation:

step 1

Find the area of one slice Choice #1

The area of the circle is equal to

`A=\pi r^(2)`

we have

`r=22/2=11\ in` ----> the radius is half the diameter

assume

`\pi =3.14`

The area of one slice is equal to

`A=(1/8)\pi r^(2)`

substitute

`A=(1/8)(3.14)(11)^(2)`

`A=47.4925\ in^(2)`

Divide the cost by the area

`4.95/47.4925=0.10(\$)/(in^(2))`

step 2

Find the area of the entire personal pizza Choice # 2

The area of the circle is equal to

`A=\pi r^(2)`

we have

`r=6/2=3\ in` ----> the radius is half the diameter

assume

`\pi =3.14`

substitute

`A=(3.14)(3)^(2)`

`A=28.26\ in^(2)`

Divide the cost by the area

`3.75/28.26=0.13(\$)/(in^(2))`

therefore

The Choice N#1 will give more pizza for your money