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?

Answer 1

20x−50; $1,450

Explanation:

Answer 2

Revenue: 2x² + 17x - 175
Cost: 2x² - 3x - 125
Profit: 20x - 50

Profit = Revenue - Cost
Profit = 2x² + 17x - 175 - (2x² - 3x - 125)
Profit = 2x² - 2x² + 17x + 3x - 175 + 125
Profit = 20x - 50

x = 75

profit = 20(75) - 50
profit = 1500 - 50
profit = 1450