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 < 150 or s > 170
- B. s < 150
- C. s > 170
- D. 150 ≤ s ≤ 170
Explanation
The correct answer is 150 ≤ s ≤ 170. This inequality accurately represents the range of the cruising speed as described in the problem. The speed is not less than 150 miles per hour and not greater than 170 miles per hour, so both endpoints must be included. Other options incorrectly suggest speeds outside this range or do not represent the situation described in the problem.
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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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