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Two-variable data: Models and scatterplots SAT question

Math · Problem-Solving and Data Analysis · Easy · Answer it here, explanation included.

The figure presents a graph of 5 line segments titled “Theresa’s Running Speed and Time.” The horizontal axis is labeled “Time,” in minutes, and the numbers zero through 30, in increments of 5, are indicated. The vertical axis is labeled “Speed,” in miles per hour, and the numbers zero through 8 are indicated.

The first line segment begins at the point with coordinates zero minutes, zero miles per hour, and moves steeply upward and to the right to the point with coordinates 5 minutes, 7 miles per hour. The second line segment begins where the first line segment ends and moves horizontally and to the right to the point with coordinates 10 minutes, 7 miles per hour. The third line segment begins where the second line segment ends and moves gradually downward and to the right to the point with coordinates 20 minutes, 5 miles per hour. The fourth line segment begins where the third line segment ends and moves sharply upward and to the right to the point with coordinates 25 minutes, 8 miles per hour. The fifth line segment begins where the fourth line segment ends and moves steeply downward and to the right to the horizontal axis, ending at the point with coordinates 30 minutes, zero miles per hour.

Theresa ran on a treadmill for thirty minutes, and her time and speed are shown on the graph above. According to the graph, which of the following statements is NOT true concerning Theresa’s run?

ExplanationShow

Choice B is correct. Theresa’s speed was increasing from 0 to 5 minutes and from 20 to 25 minutes, which is a total of 10 minutes. Theresa’s speed was decreasing from 10 minutes to 20 minutes and from 25 to 30 minutes, which is a total of 15 minutes. Therefore, Theresa’s speed was NOT increasing for a longer period of time than it was decreasing.

Choice A is incorrect. Theresa ran at a constant speed for the 5-minute period from 5 to 10 minutes. Choice C is incorrect. Theresa’s speed decreased at a constant rate during the last 5 minutes, which can be seen since the graph is linear during that time. Choice D is incorrect. Theresa’s speed reached its maximum at 25 minutes, which is within the last 10 minutes.

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Two-variable data: Models and scatterplots SAT question

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