Answer:
it makes more sense to buy one 20 inch pizza
Step-by-step explanation:
step 1
Find the area of a 10 inch pizza
The area of a pizza ( circle) is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=10/2=5\ in[/tex] ---> the radius is half the diameter
substitute
[tex]A=\pi (5)^{2}[/tex]
[tex]A=25\pi\ in^2[/tex]
assume
[tex]\pi =3.14[/tex]
[tex]A=25(3.14)=78.5\ in^2[/tex]
step 2
Find the cost of a 10 in pizza per square inch
Divide the cost by the area
[tex]\frac{11}{78.5}= \$0.14\ per\ square\ inch[/tex]
step 3
Find the area of a 20 inch pizza
The area of a pizza ( circle) is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=20/2=10\ in[/tex] ---> the radius is half the diameter
substitute
[tex]A=\pi (10)^{2}\\A=100\pi\ in^2[/tex]
assume
[tex]\pi =3.14[/tex]
[tex]A=100(3.14)=314\ in^2[/tex]
step 4
Find the cost of a 20 in pizza per square inch
Divide the cost by the area
[tex]\frac{22}{314}= \$0.07\ per\ square\ inch[/tex]
therefore
it makes more sense to buy one 20 inch pizza (because the unit rate is less)
