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
If 1,000 video game systems are sold, the company's profit is S

Answer 1

Expression that represents the profit is 3x - 180.

The company's profit is $2,820

Explanation:

The profit, in dollars, can be found by subtracting the cost from the revenue:

Profit = Revenue - Cost

Profit = (5x² + 2x - 80) - (5x² - x + 100)

Simplifying the expression by distributing the negative sign:

Profit = 5x² + 2x - 80 - 5x² + x - 100

Combining like terms:

Profit = 3x - 180

Therefore, the expression that represents the profit is 3x - 180.

To find the profit when 1,000 video game systems are sold, we can substitute x = 1000 into the expression:

Profit = 3x - 180

Profit = 3(1000) - 180

Profit = 2,820

So if 1,000 video game systems are sold, the company's profit is $2,820.

Hope this helps!