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

Verified Answer :

the answer would be a

Answer:

B.$1,450

Step-by-step explanation:

The revenue, in dollars, of a company that produces jeans can be modeled by : @@MATH_TOKEN_0@@

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

@@MATH_TOKEN_1@@

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 @@MATH_TOKEN_2@@   ...... (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)

@@MATH_TOKEN_3@@

@@MATH_TOKEN_4@@ = $1450

Therefore, option B is the answer.