SAT Math Multiple Choice Question 512: Answer and Explanation

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Test Information

Question: 512

2.

The scatterplot above shows the relationship between the amount of time spent watching commercials each day and the amount of money spent each week on brand name grocery products for 10 consumers. The line of best fit for the data is also shown. Which of the following best represents the meaning of the slope of the line of best fit in the context of this question?

  • A. The predicted amount of time spent watching commercials when a person spends 0 dollars on brand name products
  • B. The predicted amount of money spent on brand name products when a person spends 0 minutes watching commercials
  • C. The predicted increase in time spent watching commercials for every dollar increase in money spent on brand name products
  • D. The predicted increase in money spent on brand name products for every one-minute increase in time spent watching commercials

Correct Answer: D

Explanation:

D

Difficulty: Easy

Category: Problem Solving and Data Analysis / Scatterplots

Strategic Advice: You don't need to know the slope of the line of best fit to answer the question, so don't waste valuable time trying to find it. Instead, use the labels on the axes to determine the meaning of the slope.

Getting to the Answer: On a graph, slope means the change in the y-values (rise) compared to the change in the x-values (run). In a real-world scenario, this is the same as the unit rate. In this context, the rise is the amount of money spent, and the run is the number of minutes watching commercials. Thus, the unit rate, or slope, represents the predicted increase in money spent on brand name products for every one-minute increase in time spent watching commercials.

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