the revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x^2 + 4x - 60…

the revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x^2 + 4x - 60. the cost, in dollars, of producing the toy cars can be modeled by 3x^2 - 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? 3x - 260 3x + 140 5x - 260 5x + 140

the revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x^2 + 4x - 60. the cost, in dollars, of producing the toy cars can be modeled by 3x^2 - 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? 3x - 260 3x + 140 5x - 260 5x + 140

Answer

Explanation:

Step1: Recall profit formula

Profit = Revenue - Cost

Step2: Substitute given polynomials

Revenue = $3x^{2}+4x - 60$, Cost = $3x^{2}-x + 200$. So, Profit=$(3x^{2}+4x - 60)-(3x^{2}-x + 200)$

Step3: Remove parentheses

Profit = $3x^{2}+4x - 60-3x^{2}+x - 200$

Step4: Combine like - terms

$(3x^{2}-3x^{2})+(4x + x)+(-60 - 200)=5x-260$

Answer:

C. $5x - 260$