To solve the problem, we first need to complete the table based on the relationship between the minutes jogged and the minutes walked. Tessa jogs for 4 minutes and walks for 3 minutes, so we can use this ratio to fill in the missing values.
Let's fill in the table:
- When Tessa jogs for 4 minutes, she walks for 3 minutes.
- When she jogs for 8 minutes (2 sets of jogging), she walks for 6 minutes (2 sets of walking):
- \( 2 \times 4 = 8 \) minutes jogged
- \( 2 \times 3 = 6 \) minutes walked
- When she jogs for 12 minutes (3 sets of jogging), she walks for 9 minutes (3 sets of walking):
- \( 3 \times 4 = 12 \) minutes jogged
- \( 3 \times 3 = 9 \) minutes walked
- When she jogs for 16 minutes (4 sets of jogging), she walks for 12 minutes (4 sets of walking):
- \( 4 \times 4 = 16 \) minutes jogged
- \( 4 \times 3 = 12 \) minutes walked
So the completed table looks like this:
| Minutes Jogged | Minutes Walked | |----------------|-----------------| | 4 | 3 | | 8 | 6 | | 12 | 9 | | 16 | 12 |
Graphing the Data
To graph the data from the table, we can plot the points on a coordinate plane, where the x-axis represents the minutes jogged and the y-axis represents the minutes walked.
- For (4, 3)
- For (8, 6)
- For (12, 9)
- For (16, 12)
Steps to Graph:
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Draw a horizontal line (x-axis) and a vertical line (y-axis) to create the graph.
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Label the x-axis as "Minutes Jogged" and the y-axis as "Minutes Walked."
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Mark the points on the graph:
- Point A: (4, 3)
- Point B: (8, 6)
- Point C: (12, 9)
- Point D: (16, 12)
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Connect the points with a line to show the relationship between minutes jogged and walked.
Note:
Since the relationship between jogging and walking is linear, you should see a straight line when the points are plotted correctly.
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