Constructing Scatterplots — Quiz

Question 2 • Mathematics 8

Which scatterplot is labeled correctly if it is meant to show the relationship between the number of minutes that gym members spend running on a treadmill and the number of calories that they burn?

Answer

Image with description A scatter plot shows six discrete data points on a grid. The vertical axis is labeled y, with grid lines at 75-unit intervals and labeled values of 150, 300, 450, 600, and 750. The horizontal axis is labeled x, with grid lines at 10-unit intervals and labeled values of 20 and 40. The data points are plotted at approximately (10 comma 175), (20 comma 300), (30 comma 410), (38 comma 430), (40 comma 640), and (50 comma 700).

Image with description A scatter plot shows six discrete data points on a coordinate grid. The vertical axis is labeled "Minutes" and y, with grid lines at 10-unit intervals and labeled values of 10, 20, 30, 40, and 50. The horizontal axis is labeled "Calories Burned" and x, with labeled values of 75, 225, 375, and 525. Major grid lines are spaced 37.5 units apart. The data points are plotted at approximately (188 comma 10), (210 comma 16), (300 comma 20), (385 comma 25), (400 comma 31), and (420 comma 36).

Image with description A scatterplot titled Minutes versus Calories Burned is shown on a first quadrant coordinate plane. The x axis is labeled minutes and ranges from 0 to 50 in increments of 10. The y axis is labeled calories burned and ranges from 0 to 750 in increments of 75. There is a point at (10 comma 175). There is a point at (20 comma 300). There is a point at (30 comma 415). There is a point at (35 comma 440). There is a point at (40 comma 650). There is a point at (50 comma 715).

Image with description A scatter plot shows seven discrete data points on a coordinate grid. The vertical axis is labeled "Members" and y, with grid lines at 10-unit intervals and labeled values of 10, 20, 30, 40, and 50. The horizontal axis is labeled "Calories burned" and x, with grid lines at 75-unit intervals and labeled values of 75, 225, 375, and 525. The data points are plotted at approximately (195 comma 11), (210 comma 16), (300 comma 20), (385 comma 25), (400 comma 31), and two closely spaced points near (420 comma 36).

Explanation

Minutes spent running is the input, so it belongs on the horizontal x-axis; calories burned depends on that time, so it belongs on the vertical y-axis. Choice C labels the horizontal axis “minutes” and the vertical axis “calories burned,” with values that fit the data. Choice B reverses those axes, while A does not identify what x and y represent.

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