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

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

Step3: Distribute the negative sign

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

Step4: Combine like - terms

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

Answer:

$5x - 260$