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

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

Answer 2

(C)3x+20

(D)$3020

Explanation:

Revenue = 5x² + 2x – 80.

Cost = 5x² – x + 100

Profit = Revenue - Cost

= 5x² + 2x – 80 – (5x² – x + 100)

Opening the brackets

=5x² + 2x – 80 – 5x² + x + 100

Collecting Like terms

=5x²-5x²+ 2x+ x– 80+100

=3x+20

Profit =3x+20

If 1000 video games are sold

x=1000

Profit =3x+20

=(3 X 1000)+20

=3000+20

Profit =$3020