The function p(x) =  2(x9)2 + 100 is used to determines the profit on Tshirts sold for x dollars. What would the profit from sales be if the proce of the Ts
Mathematics
aprilvfour
Question
The function p(x) =  2(x9)2 + 100 is used to determines the profit on Tshirts sold for x dollars. What would the profit from sales be if the proce of the Tshirts were $15 a piece?
1 Answer

1. User Answers kudzordzifrancis
ANSWER
$28
EXPLANATION
The profit function is given as:
[tex]p(x) =  2 {(x  9)}^{2} + 100[/tex]
where x is the price of the Tshirt in dollars.
To find the profit on a Tshirt whose price is $15, we substitute x=15 into the function and simplify.
[tex]p(15) =  2 {(15  9)}^{2} + 100[/tex]
We simplify to get:
[tex]p(15) =  2 {(6)}^{2} + 100[/tex]
[tex]p(15) = 72+ 100[/tex]
[tex]p(15) = 28[/tex]