Question

2 determine which pizza is the better buy in each situation. a the 10 -inch diameter pizza for $8.99 or the 6 -inch diameter pizza for $5.

Explanation:

Step1: Calculate area of 10 - inch pizza

The formula for the area of a circle is $A = \pi r^{2}$, where $r$ is the radius. For a 10 - inch diameter pizza, $r=\frac{10}{2}=5$ inches. So $A_1=\pi\times5^{2}=25\pi\approx 25\times 3.14 = 78.5$ square - inches.

Step2: Calculate cost per square - inch of 10 - inch pizza

The cost of the 10 - inch pizza is $C_1 = 8.99$ dollars. The cost per square - inch, $CP_1=\frac{8.99}{78.5}\approx0.115$ dollars per square - inch.

Step3: Calculate area of 6 - inch pizza

For a 6 - inch diameter pizza, $r = \frac{6}{2}=3$ inches. So $A_2=\pi\times3^{2}=9\pi\approx9\times3.14 = 28.26$ square - inches.

Step4: Calculate cost per square - inch of 6 - inch pizza

The cost of the 6 - inch pizza is $C_2 = 5$ dollars. The cost per square - inch, $CP_2=\frac{5}{28.26}\approx0.177$ dollars per square - inch.

Step5: Compare cost per square - inch

Since $0.115<0.177$, the 10 - inch diameter pizza is a better buy.

Answer:

The 10 - inch diameter pizza is the better buy.