Question

Jim runs laps around his block every morning before school. The graph shows a proportional relationship between time in minutes and the number of laps completed.

Answer 1

The proportional relationship in the graph. Choose points (3, 2) and
(6, 4). Calculate the change in laps (2) and time (3). Compute the unit rate: 2/3 = 1.5 laps per minute. Option C is the correct choice.

1. Identify Proportional Relationship:

Observe the graph displaying a proportional relationship between time (in minutes) and the number of laps Jim runs.

2. Define Constant of Proportionality:

Recognize the constant of proportionality as the unit rate, representing the laps Jim runs per minute.

3. Choose Two Points:

Select two points on the line; for instance, (3, 2) and (6, 4).

4. Calculate Change in Laps:

Determine the change in the number of laps by subtracting: 4 - 2 = 2.

5. Calculate Change in Time:

Determine the change in time by subtracting: 6 - 3 = 3.

6. Compute Unit Rate:

Divide the change in laps by the change in time:
`\((2)/(3) = 1.5\)`.

7. Final Result:

Conclude that the unit rate is 1.5 laps per minute, representing the constant of proportionality in the given relationship. Option C is the correct choice.