Question

The revenue, in dollars, of a company that produces jeans can be modeled by 2x2 + 17x – 175. The cost, in dollars, of producing the jeans can be modeled by 2x2 – 3x – 125. The number of pairs of jeans that have been sold is represented by x. The profit is the difference between the revenue and the cost, 20x – 50.

IF 75 pairs of jeans are sold, what is the company’s profit?

A.$500
B.$1,450
C.$1,500
D.$2,250

Answer 1

the answer would be a

Answer 2

B.$1,450

Explanation:

The revenue, in dollars, of a company that produces jeans can be modeled by :
`2x^(2) +17x-175`

The cost, in dollars, of producing the jeans can be modeled by :

`2x^(2) -3x-125`

The number of pairs of jeans that have been sold is represented by x.

The profit is the difference between the revenue and the cost, shown by
`20x-50` ...... (1)

IF 75 pairs of jeans are sold, means x is 75. So, the profit is calculated as:

we will put x = 75 in (1)

`20(75)-50`

`1500-50` = $1450

Therefore, option B is the answer.