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The function p(x) = _2(x _ 9)2 + 100 is used to determine the profit on T-shirts sold for x dollars. What would the profit from sales be if the price of the T-shirts were $15 apiece?

A$15
B$28
C$172
D$244

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Answer:

Option (b) is correct.

The profit  from sales if the price of the T-shirts were $15 a pieces is $28.

Step-by-step explanation:

Given : The function \(p(x)=-2(x-9)^2+100\) is used to determine the profit on T-shirts sold for x dollars.

We have to find the profit from sales if the price of the T-shirts were $15 a pieces.

Consider the given profit function  @@MATH_TOKEN_1@@

For the profit, if the price of a t-shirt is $ 15

Put x = 15, we have,

\(p(15)=-2(15-9)^2+100\)

Simplify, we have,

\(p(15)=-2(6)^2+100=-2\cdot 36+100\)

Also,  \(p(15)=-72+100=28\)

Thus, we get,  The profit  from sales if the price of the T-shirts were $15 a pieces is $28.

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