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?

Question

1. A graph titled Members versus Calories Burned has Members on the x-axis and calories burned on the y-axis. Points plotted are (10, 200), (20, 300), (30, 400), (35, 425), (40, 650), (50, 700).
2. A graph titled Minutes versus Calories Burned has Minutes on the x-axis and calories burned on the y-axis. Points plotted are (10, 200), (20, 300), (30, 400), (35, 425), (40, 650), (50, 700).
3. A graph titled Calories Burned versus Minutes has Calories burned on the x-axis and minutes on the y-axis. Points plotted are (160, 11), (200, 15), (300, 20), (376, 25), (390, 30), (400, 35).
4. A graph titled Calories Burned versus Members has Calories burned on the x-axis and members on the y-axis. Points plotted are (160, 11), (200, 15), (300, 20), (376, 25), (390, 30), (400, 35).

Answer 1

To correctly represent the relationship between the number of minutes that gym members spend running on a treadmill and the number of calories that they burn, we need a scatterplot where:

• The x-axis represents the independent variable (in this case, the number of minutes running).
• The y-axis represents the dependent variable (the number of calories burned).

Given this, the correct scatterplot is:

2. A graph titled Minutes versus Calories Burned has Minutes on the x-axis and calories burned on the y-axis. Points plotted are (10, 200), (20, 300), (30, 400), (35, 425), (40, 650), (50, 700).

This graph labels the axes correctly according to the relationship we're trying to illustrate.