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?

Answer 1

plug x =15 into the equation to get -2 (15-9)2+100
just type that into your calc

Answer 2

The profit would be $ 28.

Explanation:

The function that shows the profit on T-shirts sold for x dollars,

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

If x = 15 dollars,

The profit on T shirt sold on $ 15 would be,

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

`=-2(6)^2+100`

`=-72+100`

`=\$ 28`