Problema Solution
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?
Answer provided by our tutors
Profit = Revenue - Cost
(k – h)(x) = k(x) - h(x)
k(x) - h(x) = 9x - 2 - (5x + 6)
k(x) - h(x) = 9x - 2 - 5x - 6
k(x) - h(x) = (9x - 5x) - 2 - 6
k(x) - h(x) = 4x - 8
(k – h)(x) = 4x - 8
The expression representing the profit is:
(k – h)(x) = 4x - 8