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$5x + 140$
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)