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 represented
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

Question

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Respuesta :

carlosego carlosego · Answer 1 · 2019-10-16T12:13:54+02:00

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

[tex]S (r) = 0.1 \pi * r ^ 2[/tex]

Where:

r: It's the radius of the pizza

IF a pizza cost $26.32 we have:

[tex]26.32 = 0.1 \pi * r ^ 2[/tex]

We cleared the radius, using [tex]\pi = 3.14[/tex]:

[tex]\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}[/tex]

We choose the positive value:

[tex]r = 9.15[/tex]

So, the radius of the pizza is [tex]9.16 \ in[/tex]

Then, the diameter is: [tex]2r = 2 * 9.15 = 18.30 \ in[/tex]

Finally, the diameter of the pizza is:[tex]18.30 \ in[/tex]

Answer:

Option B

roundadworthy roundadworthy · Answer 2 · 2020-03-05T03:32:31+01:00

Answer:

The correct answer is B. 18.30 inches

Step-by-step explanation:

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

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

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.

Cost of the pizza = $ 0.10 * π * r²

Replacing with the values we have:

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

The correct answer is B. 18.30 inches