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?

To find the profit function, we need to subtract the cost function \( h(x) \) from the revenue function \( k(x) \). The profit is given by:

\[ P(x) = k(x) - h(x) \]

Given the functions:

• Cost function: \( h(x) = 5x + 6 \)
• Revenue function: \( k(x) = 9x - 2 \)

We can substitute these functions into the profit equation:

\[ P(x) = (9x - 2) - (5x + 6) \]

Now, simplify the expression:

\[ P(x) = 9x - 2 - 5x - 6 \]

Combining like terms:

\[ P(x) = (9x - 5x) + (-2 - 6) \] \[ P(x) = 4x - 8 \]

So, the expression that represents the profit \( (k - h)(x) \) is:

\[ \boxed{4x - 8} \]