Question

The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by

ko 9x2 Which expression represents the profit, (k-1)(x) of producing soccer balls?

Answer 1

C. 4x – 8

Explanation:

The complete question is

The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x) = 9x – 2. Which expression represents the profit, (k – h)(x), of producing soccer balls?

A. 14x – 8

B. 14x + 4

C. 4x – 8

D. 4x + 4

The expresison that represents the profit is
`(k-h)(x)`. Which means the profit is the difference between the revenue function and the cost functions, that is

`(k-h)(x)=k(x)-h(x)=9x-2-(5x+6)=9x-2-5x-6=4x-8`

Therefore, the expression that represents profit is 4x-8, whcih is choice C.

Answer 2

(k-h)(x) = 4x - 8

Explanation:

We know Profit = Revenue - Cost

Basically we gotta subtract cost function from revenue function and get the profit function.

The cost function is h(x) = 5x + 6

The revenue function is k(x) = 9x - 2

Hence, Profit is:

(k-h)(x) = (9x - 2) - (5x + 6)

(k-h)(x) = 9x -2 - 5x - 6

(k-h)(x) = 4x - 8