AnswersCMS 2026-2027 NC Math 2 CREDIT RECOVERYDirect and Inverse Variation — QuizQuestion 3
3
QuizMultiple Choice

Direct and Inverse Variation — Quiz

Question 3 • CMS 2026-2027 NC Math 2 CREDIT RECOVERY

Traveling at an average speed of 50 miles per hour, the trip from point A to point B takes 2 hours. Traveling at an average speed of 40 miles per hour, the same trip takes 2 point 5 hours. If time, y , varies inversely with speed, x , how long will the trip take traveling at 45 miles per hour? Round your answer to the nearest hundredth, if necessary.

Answer
A
4 point 4 4
B
2 point 2 5
C
4 point 5 0
D
2 point 2 2

Explanation

For inverse variation, time multiplied by speed is constant. The given trips both give 50 × 2 = 100 and 40 × 2.5 = 100, so the constant is 100. At 45 miles per hour, the time is 100 ÷ 45 ≈ 2.22 hours, which is choice D, 2.22.

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