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

Answer:

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

Step-by-step 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

$4.95/47.4925=0.10\frac{\ }{in^{2}}$

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

$3.75/28.26=0.13\frac{\ }{in^{2}}$

therefore

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