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?

Answer 1

Answer:  3x-180

Step-by-step explanation:

Given: Expression for Revenue = $5x^2 + 2x - 80$

Expression for Cost = $5x^2- x + 100$

If profit is the difference between the revenue and the cost then the expression for profit will be:

Profit = Revenue - cost

$=5x^2 + 2x - 80-(5x^2- x + 100)\\\\=5x^2 + 2x - 80-5x^2+x-100\ \ [\text{Multiply ' - ' sign inside the bracket}]\\\\=2x+x-80-100\\\\=3x-180$

Hence, the expression represents the profit is 3x-180 .