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: Set up the profit formula

Profit (P=\text{Revenue}-\text{Cost}). Given Revenue (R = 3x^{2}+4x - 60) and Cost (C=3x^{2}-x + 200). Then (P=(3x^{2}+4x - 60)-(3x^{2}-x + 200)).

Step2: Remove the parentheses

[ \begin{align*} P&=3x^{2}+4x - 60-3x^{2}+x - 200\ \end{align*} ]

Step3: Combine like - terms

For the (x^{2}) terms: (3x^{2}-3x^{2}=0). For the (x) terms: (4x+x=(4 + 1)x=5x). For the constant terms: (-60-200=-260). So (P = 5x-260).

Answer:

C. (5x - 260)