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:Choice #1 is betterStep-by-step explanation:To find the solution to this problem, we have to compute the are in each case, and divide each value by the corresponding cost in order to find the cost per square. The lower the cost, the better the offer because it will give you more pizza for your money Thus:CHOICE 1:Here the offer of Big Bob’s Pizza gives one slice of pizza from a pizza with a 22 inches diameter (then the radius is 11 inches) and is cut into 8 slices, so the area for the first entire pizza is:[tex]A_{1}=\pi r^2=\pi(11)^2 \\ \\ A_{1}=121 \pi in^2[/tex]Each slice has an area of:[tex]A_{slice}=\frac{121 \pi}{8} \\ \\ A_{slice}=47.51in^2[/tex]Finally, the cost per square inch is:[tex]C=\frac{4.95\$}{47.51in^2}=0.10\$[/tex]CHOICE 2:Here the offer of Big Bob’s Pizza gives: An entire personal-size pizza that has a diameter of 6 inches (then the radius is 3 inches), so the area for the entire pizza is:[tex]A_{2}=\pi r^2=\pi(3)^2 \\ \\ A_{2}=28.27 in^2[/tex]Finally, the cost per square inch is:[tex]C=\frac{3.75\$}{28.27in^2}=0.13\$[/tex]CONCLUSION: Choice #1 gives you more pizza for your money because the cost per square inch is less than the other option.