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

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  $p(x)=-2(x-9)^2+100$

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.

Answer 2

I hope this helps you