MATH SOLVE

3 months ago

Q:
# 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.

Accepted Solution

A:

Answer:The Choice N#1 will give more pizza for your moneyStep-by-step explanation:step 1Find the area of one slice Choice #1The area of the circle is equal to[tex]A=\pi r^{2}[/tex]we have[tex]r=22/2=11\ in[/tex] ----> the radius is half the diameterassume[tex]\pi =3.14[/tex]The area of one slice is equal to[tex]A=(1/8)\pi r^{2}[/tex]substitute[tex]A=(1/8)(3.14)(11)^{2}[/tex][tex]A=47.4925\ in^{2}[/tex]Divide the cost by the area[tex]4.95/47.4925=0.10\frac{\$}{in^{2}}[/tex]step 2Find the area of the entire personal pizza Choice # 2The area of the circle is equal to[tex]A=\pi r^{2}[/tex]we have[tex]r=6/2=3\ in[/tex] ----> the radius is half the diameterassume[tex]\pi =3.14[/tex]substitute[tex]A=(3.14)(3)^{2}[/tex][tex]A=28.26\ in^{2}[/tex]Divide the cost by the area[tex]3.75/28.26=0.13\frac{\$}{in^{2}}[/tex]thereforeThe Choice N#1 will give more pizza for your money