AnswersCMS 2026-2027 NC Math 2 CREDIT RECOVERYDirect and Inverse Variation — QuizQuestion 5
5
QuizMultiple Choice

Direct and Inverse Variation — Quiz

Question 5 • CMS 2026-2027 NC Math 2 CREDIT RECOVERY

Norman makes 15 dollars commission for selling 200 dollars in merchandise. He makes 37 point 5 0 dollars commission for selling 500 dollars in merchandise. Assuming that the variables are directly related and Norman wants to make 150 dollars in commission, what is the total value of merchandise he needs to sell?

Answer
A
612 point 5 0 dollars
B
5,000 point 0 0 dollars
C
335 point 0 0 dollars
D
2,000 point 0 0 dollars

Explanation

Because commission and merchandise sales are directly related, the commission rate is constant. Norman earns $15 ÷ $200 = 0.075, or 7.5% of sales. To earn $150, he needs to sell $150 ÷ 0.075 = $2,000 in merchandise, which is choice D.

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