Question

HEEELLLLPP!!!!!!!!!! Please help i hate algebra this is so confusing 20 pts

The function f(x) = –(x – 20)(x – 100) represents a company’s monthly profit as a function of x, the number of purchase orders received. Which number of purchase orders will generate the greatest profit? *

I know that the answer is B, 60. But I need to know how i got to that answer. Please help i am so confused.

Answer 1

You are right

Explanation:

So basically find the absolute maximum of the graph that the function creates, the highest peak is the spot with the greatest y-value, in this case is (60, 1600).

The x-value that creates the greatest y is also the x-value of the vertex for that function of yours (since your function has end behavior of both ends down). To find the x-value of the vertex, get the average of the 2 x-intercepts. So (20+100)/2, which is 60.