The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x2 – x + 200. The number of toy cars sold is represented by x.

Question

If the profit is the difference between the revenue and the cost, what expression represents the profit?

3x – 260
3x + 140
5x – 260
5x + 140

Answer 1

The expression that represents the profit is:

Profit = Revenue - Cost
Profit = (3x^2 + 4x - 60) - (3x^2 - x + 200)
Profit = 3x^2 + 4x - 60 - 3x^2 + x - 200
Profit = 5x - 260

Therefore, the correct expression that represents the profit is:

5x - 260