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

Answer:

B.$1,450

Step-by-step 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.