the revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x² + 4x - 60…

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? 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 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? 3x - 260 3x + 140 5x - 260 5x + 140

Answer

Explanation:

Step1: Recall profit - revenue - cost formula

Profit $P$ = Revenue $R$ - Cost $C$. Given $R = 3x^{2}+4x - 60$ and $C=3x^{2}-x + 200$.

Step2: Subtract cost from revenue

$P=(3x^{2}+4x - 60)-(3x^{2}-x + 200)$. Expand the expression: $P = 3x^{2}+4x - 60-3x^{2}+x - 200$.

Step3: Combine like - terms

Combine the $x^{2}$ terms: $3x^{2}-3x^{2}=0$. Combine the $x$ terms: $4x+x = 5x$. Combine the constant terms: $-60-200=-260$. So, $P = 5x-260$.

Answer:

$5x - 260$