The problem you're working on involves determining how many laps the students will walk given a specific running distance, then plotting the results on a coordinate plane. The information given is:

• For every 3 laps they run, how many laps will they walk?
• The table has a few data points to complete, and then you must plot the pairs of values on a graph.

Let's first fill in the table. The table is for "Run (laps)" and "Walk (laps)":

Given that for every 3 laps run, 2 laps are walked, we can use this ratio (3:2) to find out how many laps they will walk for other running values.

From the table:

1. If they run 6 laps, they will walk 4 laps.
2. If they run 9 laps, they will walk 6 laps.
3. If they run 12 laps, they will walk 8 laps.

Now, the next step is to plot these pairs of values on a coordinate plane:

• (3, 2) → 3 laps run, 2 laps walked
• (6, 4) → 6 laps run, 4 laps walked
• (9, 6) → 9 laps run, 6 laps walked
• (12, 8) → 12 laps run, 8 laps walked

These points will be plotted as coordinates on the graph.

Would you like a further explanation of how to plot these points on the coordinate plane, or do you have any other specific questions about this problem?

Here are some follow-up questions you might find helpful:

1. How can we calculate the walking laps for different running laps using ratios?
2. What does the slope of the line in this graph represent?
3. How can we identify patterns in the table and graph for future predictions?
4. How do we interpret the graph once we plot all points?
5. Can we predict the walking laps for a value that isn't directly provided in the table?

Tip: When plotting data on a coordinate plane, always label your axes clearly and make sure each point corresponds to the correct (x, y) value!