Question

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

Answer 1

I hope this helps you

Answer 2

Option (b) is correct.

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

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
`p(x)=-2(x-9)^2+100`

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.