AnswersVT-VA-EOC-SOL-Algebra I Functions and StatisticsDirect and Inverse VariationQuestion 9
9
QuizMultiple Choice

Direct and Inverse Variation

Question 9 • VT-VA-EOC-SOL-Algebra I: Functions and Statistics

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 2.5 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
2.22
B
2.25
C
4.44
D
4.50

Explanation

For an inverse variation, speed multiplied by time stays constant. The trip distance is 50 × 2 = 100 miles (also 40 × 2.5 = 100 miles). At 45 miles per hour, the time is 100 ÷ 45 ≈ 2.22 hours, so the correct choice is 2.22.

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