Question

When Tessa exercises, she jogs 4 minutes for every 3 minutes she walks.
Complete the table.
Minutes jogged 4 8 12 16
Minutes walked 3
Graph the data from the table.

Answer 1

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:

1. Draw a horizontal line (x-axis) and a vertical line (y-axis) to create the graph.
2. Label the x-axis as "Minutes Jogged" and the y-axis as "Minutes Walked."
3. Mark the points on the graph:
- Point A: (4, 3)
- Point B: (8, 6)
- Point C: (12, 9)
- Point D: (16, 12)

4. 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.