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
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:
$5x - 260$