Question

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold. What expression represents the profit?

A. 27x – 650
B. 27x + 390
C. 33x – 650
D. 33x + 390

Answer 1

D. 33x + 390

Explanation:

Profit is the difference between revenue and cost so subtract the given polynomials:

2x³ + 30x – 130 - (2x³ – 3x – 520) = 2x³ + 30x – 130 -2x³+3x+520

combine like terms: 33x +390

Answer 2

We need to subtract both equations. 2x3+30x-130-2x3+3x+520

that gives

30x-130+3x + 520

33x+390

D is answer