A neighborhood consists of a 2-hectare park and a 35-hectare residential area. The total number of trees in the neighborhood is 3,934. The equation 2x + 35y = 3,934 represents this situation. Which of the following is the best interpretation of x in this context?
Correct answer: A. The average number of trees per hectare in the park
- A. The average number of trees per hectare in the park
- B. The average number of trees per hectare in the residential area
- C. The total number of trees in the park
- D. The total number of trees in the residential area
Explanation
The correct answer is that x represents the average number of trees per hectare in the park. The equation 2x + 35y = 3,934 indicates that 2x is the number of trees in the park, calculated by multiplying the park's area (2 hectares) by the average number of trees per hectare (x). Thus, x is the average number of trees per hectare in the park. The other options are incorrect because they either misidentify the role of x in the equation or assign x to the wrong area.
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About Quantitative Reasoning
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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