Question

The revenue, in dollars, of a company that produces video game systems can be modeled by the expression 5x2 + 2x – 80. The cost, in dollars, of producing the video game systems can be modeled by 5x2 – x + 100, where x is the number of video game systems sold. If profit is the difference between the revenue and the cost, what expression represents the profit?
Profit can be modeled by the polynomial expression

Options:

x+20
x-180
3x+20
3x-180

If 1,000 video game systems are sold, the company’s profit is $

Options:

820
1,020
2,820
3,020

Answer 1

Answer: Profit can be modeled by the polynomial expression  3x-180 .

If 1,000 video game systems are sold, the company’s profit is $ 2,820 .

Step-by-step explanation:

Given: The revenue, in dollars, of a company that produces video game systems can be modeled by the expression $5x^2 + 2x - 80$.

The cost, in dollars, of producing the video game systems can be modeled by $5x^2-x + 100$, where x is the number of video game systems sold.

We know that Profit = Revenue - Cost

Therefore, Profit can be modeled by the polynomial expression will be

$5x^2 + 2x - 80-(5x^2-x + 100)\\\\=5x^2 + 2x - 80-5x^2+x-100\\\\=3x-180$

If 1,000 video game systems are sold,  then the company’s profit is given by $3(1000)-180=\ 2,820$

Answer 2

The expression that represents the profit is: ( 5x2 + 2x – 80)-(5x2 – x + 100)

Profit can be modeled by polynomial expression: 3x-180

If 1,000 video game systems are sold, the company's profit is: $2,820