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?\n$3x - 260$\n$3x + 140$\n$5x - 260$\n$5x + 140$

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?\n$3x - 260$\n$3x + 140$\n$5x - 260$\n$5x + 140$

Answer

Explanation:

Step1: Define profit formula

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

Step2: Substitute expressions

(P=(3x^{2}+4x - 60)-(3x^{2}-x + 200)).

Step3: Remove parentheses

(P = 3x^{2}+4x - 60-3x^{2}+x - 200).

Step4: Combine like - terms

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

Answer:

C. (5x - 260)