The scatterplot shows the relationship between two variables, x and y. Which of the following graphs shows the most appropriate model for the data?
Correct answer: D. D
- A. A
- B. B
- C. C
- D. D
Explanation
Choice D is correct because it provides a model in the form of an increasing curve that closely follows the trend of the data points in the scatterplot. The data points exhibit an increasing, non-linear trend, and the model in option D accurately captures this trend with points both above and below the curve. Option A is incorrect because it suggests a linear model, which does not fit the curved trend. Option B is incorrect due to its decreasing line, which contradicts the increasing trend of the data points. Option C is incorrect because its model is positioned above all data points, failing to represent the data accurately.
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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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