PSAT Math Multiple-Choice Practice Question 492

Question: 492

John was interested in the effect caffeine had on his reading speed and graphed the relationship between caffeine intake, in milligrams per hour, and his reading speed, in pages per hour, in the scatterplot below.

Based on the data John collected, over which of the following intervals is there a positive relationship between his caffeine intake, in milligrams per hour, and his reading speed, in pages per hour?

Correct Answer: B

Explanation:

B

The question asks about which intervals on the graph demonstrate a positive relationship. A positive relationship is one in which both variables increase together, resulting in a positive slope. From the graph, the only intervals that demonstrate a positive relationship between caffeine intake and reading speed are between 40–60 mg/hour and 80–100 mg/hour. The correct answer will contain only these intervals. Eliminate (A), (C), and (D). The correct answer is (B).

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