Answer:
(k-h)(x) = 4x - 8
Step-by-step 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
Answer:
Step-by-step 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 [tex](k-h)(x)[/tex]. Which means the profit is the difference between the revenue function and the cost functions, that is
[tex](k-h)(x)=k(x)-h(x)=9x-2-(5x+6)=9x-2-5x-6=4x-8[/tex]
Therefore, the expression that represents profit is 4x-8, whcih is choice C.
