Answer: Profit can be modeled by the polynomial expression <u>3x-180</u> .
If 1,000 video game systems are sold, the company’s profit is <u>$ 2,820</u> .
Step-by-step explanation:
Given: The revenue, in dollars, of a company that produces video game systems can be modeled by the expression
.
The cost, in dollars, of producing the video game systems can be modeled by
, 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](https://tex.z-dn.net/?f=5x%5E2%20%2B%202x%20-%2080-%285x%5E2-x%20%2B%20100%29%5C%5C%5C%5C%3D5x%5E2%20%2B%202x%20-%2080-5x%5E2%2Bx-100%5C%5C%5C%5C%3D3x-180)
If 1,000 video game systems are sold, then the company’s profit is given by ![3(1000)-180=\$2,820](https://tex.z-dn.net/?f=3%281000%29-180%3D%5C%242%2C820)