Water pours into the glass slowly and at a constant rate. Which of the following graphs best illustrates the height of the water level in the glass as it fills?
Correct answer: C. C
- A. A
- B. B
- C. C
- D. D
Explanation
Option C is the correct choice. The initial rapid increase in water height corresponds to the glass's narrow base, which causes the water level to rise quickly. As the glass widens, the rate of increase in water height slows down, resulting in a graph that is steeper at the start and less steep later. Option A incorrectly suggests a uniform rate of increase, Option B implies an accelerating increase which is not aligned with the glass's shape, and Option D indicates no increase at all, which is not possible as water is being added.
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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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