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. if the profit is the difference between the revenue and the cost, what expression represents the profit? a) 3x – 260 b) 3x + 140 c) 5x – 260 d) 5x + 140

c) 5x -260

Step-by-step explanation:

Profit (P) = Revenue - Cost

Given:

Revenue = 3x^2 + 4x – 60

Cost producing toy cars = 3x^2 – x + 200

P = 3x^2 + 4x – 60 - (3x^2 – x + 200)

Distributive the negative sign, we get

P = 3x^2 + 4x – 60 - 3x^2 + x - 200

Collecting the like terms:

P = 3x^2 - 3x^2 + 4x + x - 60 - 200

P = 5x - 260

So, the correct expression for the profit is:

5x - 260

c) 5x -260

Thank you.

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step-by-step explanation:

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