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(1) Personal Math Trainer 7 th-9.1/9.2 - Homework-Homework




litwante






Donnle's


Diameter (in.)


Cost (s)





(70" Pala ")/(10)




The 10-inch pizza costs about e per square inch while the 16-inch pizza costs about

◻ pizza is a better deal.
16-inch
0.1
0.13
10
13
10-inch
Question 14 of 15
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(11) Personal Math Trainer 77 th9-9.11/99.22 - Homework-Homework\newline\begin{tabular}{|c|c|}\newline\hline litwante & \\\newline\hline \begin{tabular}{l} \newlineDonnle's \\\newlineDiameter (in.) \\\newlineCost (s)\newline\end{tabular} & 70 Pala 10 \frac{70 \text { Pala }}{10} \\\newline\hline\newline\end{tabular}\newlineThe 1010-inch pizza costs about e per square inch while the 1616-inch pizza costs about\newline \square pizza is a better deal.\newline1616-inch\newline00.11\newline00.1313\newline1010\newline1313\newline1010-inch\newlineQuestion 1414 of 1515\newlineCheck Answer\newlineNext

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Q. (11) Personal Math Trainer 77 th9-9.11/99.22 - Homework-Homework\newline\begin{tabular}{|c|c|}\newline\hline litwante & \\\newline\hline \begin{tabular}{l} \newlineDonnle's \\\newlineDiameter (in.) \\\newlineCost (s)\newline\end{tabular} & 70 Pala 10 \frac{70 \text { Pala }}{10} \\\newline\hline\newline\end{tabular}\newlineThe 1010-inch pizza costs about e per square inch while the 1616-inch pizza costs about\newline \square pizza is a better deal.\newline1616-inch\newline00.11\newline00.1313\newline1010\newline1313\newline1010-inch\newlineQuestion 1414 of 1515\newlineCheck Answer\newlineNext
  1. Calculate Area 1010-inch Pizza: First, calculate the area of the 1010-inch pizza using the formula for the area of a circle, A=πr2A = \pi r^2, where rr is the radius.\newlineThe radius of the 1010-inch pizza is 55 inches (half of the diameter).\newlineA10=π×(5)2A_{10} = \pi \times (5)^2
  2. Calculate Area 1616-inch Pizza: Now, calculate the area of the 1616-inch pizza using the same formula.\newlineThe radius of the 1616-inch pizza is 88 inches (half of the diameter).\newlineA16=π×(8)2A_{16} = \pi \times (8)^2
  3. Cost per Square Inch 1010-inch: Next, calculate the cost per square inch for the 1010-inch pizza.\newlineCost per square inch for 1010-inch pizza = Cost / Area\newline= 13A10\frac{13}{A_{10}}
  4. Cost per Square Inch 1616-inch: Calculate the cost per square inch for the 1616-inch pizza.\newlineCost per square inch for 1616-inch pizza = Cost / Area\newline= 16A16\frac{16}{A_{16}}
  5. Plug in Areas: Now, plug in the areas into the cost per square inch calculations.\newlineCost per square inch for 1010-inch pizza = 13(π×25)\frac{13}{(\pi \times 25)}\newlineCost per square inch for 1616-inch pizza = 16(π×64)\frac{16}{(\pi \times 64)}
  6. Simplify Cost per Square Inch: Simplify the cost per square inch for both pizzas.\newlineCost per square inch for 1010-inch pizza 0.165\approx 0.165\newlineCost per square inch for 1616-inch pizza 0.079\approx 0.079

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