During which of the following 10-minute intervals does the temperature of the coffee decrease at the greatest average rate?
Correct answer: A. Between 0 and 10 minutes
- A. Between 0 and 10 minutes
- B. Between 30 and 40 minutes
- C. Between 50 and 60 minutes
- D. Between 90 and 100 minutes
Explanation
The correct answer is Choice A: Between 0 and 10 minutes. This interval shows the greatest decrease in temperature, meaning the average rate of change is the highest. The average rate of change is calculated by dividing the change in temperature by the time interval. Since the time intervals are consistent across options, the interval with the greatest temperature change will have the highest rate. The other options (B, C, and D) show less significant temperature decreases within their respective intervals, indicating lower average rates of change.
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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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