Question

The revenue from selling x hats is r(x) = 18x.

The cost of buying x hats is c(x) = 8x+ 30.
The profit from selling x hats is p(x) = r(x) - c(x).


Write a function for p(x), the profit from selling x hats.

A. p(x) = 10x - 30
B. p(x) = 26x + 30
C. p(x) = 26x - 30
D. p(x) = 10x + 30

Answer 1

• A. p(x) = 10x - 30

Explanation:

Given:

• r(x) = 18x and
• c(x) = 8x+ 30

Find p(x) by substituting the above into the following equation:

• p(x) = r(x) - c(x)
• p(x) = 18x - (8x + 30) = 18x - 8x - 30 = 10x - 30

Correct choice is A