During a portion of a flight, a small airplane's cruising speed varied between 150 miles per hour and 170 miles per hour. Which inequality best represents this situation, where s is the cruising speed, in miles per hour, during this portion of the flight?
Correct answer: D. 150 ≤ s ≤ 170
- A. s ≤ 20
- B. s ≤ 150
- C. s ≤ 170
- D. 150 ≤ s ≤ 170
Explanation
Choice D is correct. It's given that during a portion of a flight, a small airplane's cruising speed varies between 150 miles per hour and 170 miles per hour. It's also given that s represents the cruising speed, in miles per hour, during this portion of the flight. It follows that the airplane's cruising speed, in miles per hour, was at least 150, which means s ≥150, and was at most 170, which means s ≤ 170. Therefore, the inequality that best represents this situation is 150 ≤ s ≤ 170.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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