1
QuizMultiple Choice

Factoring Trinomials: a > 1 — Unit test

Question 1 • FL-1200700-Mathematics for College Algebra MIS

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. If the profit is the difference between the revenue and the cost, which expression can be used to find profit and what is that profit when 75 pairs of jeans are sold?

Answer
A
20x−50; $500
B
20x−50; $1,450
C
20x+50; $1,550
D
20x+50; $5,250

Explanation

Profit is revenue minus cost: (2x² + 17x − 175) − (2x² − 3x − 125). Distributing the subtraction and combining like terms gives 20x − 50. For 75 pairs, the profit is 20(75) − 50 = $1,450, so the correct choice is “20x − 50; $1,450.”

AI-written and checked against the verified answer.

Next