Question 25 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY
The revenue, in dollars, of a company that produces jeans can be modeled by 2 x squared plus 17 x minus 175 The cost, in dollars, of producing the jeans can be modeled by 2 x squared minus 3 x minus 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 the profit and what is that profit when 75 pairs of jeans are sold?
Answer
A
20 x minus 50 ; 500 dollars
B
20 x minus 50 ; 1 dollars comma 450
C
20 x plus 50 ; 1 dollars comma 550
D
20 x plus 50 ; 5 dollars comma 250
Explanation
Profit is revenue minus cost: (2x² + 17x − 175) − (2x² − 3x − 125). Distribute the subtraction and combine like terms; the x² terms cancel, giving 20x − 50. For 75 pairs, 20(75) − 50 = 1,450, so the profit expression is 20x − 50 and the profit is $1,450.
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