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e-lub [12.9K]
3 years ago
9

HELP PLEASE. A pizza shop charges customers based on the area of the pizza they order. The cost of a pizza in dollars can be rep

resented
by so) - 0.1 ser? where r is the radius of the pizza in inches.
What is the diameter of a pizza that costs $26.32? Round to the nearest hundredth.
o 9.15 inches
O 18.30 inches
O 83.72 inches
o 217.63 inches

Mathematics
2 answers:
Sever21 [200]3 years ago
8 0

Answer:

<u>The correct answer is B. 18.30 inches</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

<u> </u>Cost of the pizza = $ 0.10 * π * r², where r = radius of the pizza in inches<u>  </u>

2. What is the diameter of a pizza that costs $26.32 ?  

Let's recall the formula of the area of a circle, in this case, the area of the pizza:  

Area = π * r², therefore the constant 0.10 that is multiplying the area of the pizza, is the cost of the pizza in dollars per square inch.

<u> </u>Cost of the pizza = $ 0.10 * π * r²

<u>Replacing with the values we have:</u>

26.32 = 0.10 * 3.1416 *  r²

26.32 = 0.31416 * r²

r² = 26.32/0.31416

r² = 83.78

r = √ 83.78

r = 9.15 inches ⇒ d = 9.15 * 2 = 18.30

<u>The correct answer is B. 18.30 inches</u>

san4es73 [151]3 years ago
4 0

For this case we have that the cost of each pizza is given by the following function:

S (r) = 0.1 \pi * r ^ 2

Where:

r: It's the radius of the pizza

IF a pizza cost $26.32 we have:

26.32 = 0.1 \pi * r ^ 2

We cleared the radius, using \pi = 3.14:

\frac {26.32} {0.1} = \pi * r ^ 2\\263.2 = 3.14r ^ 2\\\frac {263.2} {3.14} = r ^ 2\\83.82 = r ^ 2\\r = \pm \sqrt {83.82}

We choose the positive value:

r = 9.15

So, the radius of the pizza is 9.16 \ in

Then, the diameter is: 2r = 2 * 9.15 = 18.30 \ in

Finally, the diameter of the pizza is:18.30 \ in

Answer:

Option B

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