The distance-time graph shows Michael's journey to a shop and back again. The question is: How far is the shop from Michael's home?

Applied MathematicsDistance-Time GraphInterpreting GraphsWord Problem
2025/4/22

1. Problem Description

The distance-time graph shows Michael's journey to a shop and back again. The question is: How far is the shop from Michael's home?

2. Solution Steps

The graph shows the distance from home on the y-axis and time in minutes on the x-axis. We need to find the maximum distance Michael reached from his home.
The graph shows the distance increasing from 0 to a maximum value and then decreasing back to

0. The distance increases until 10 minutes, at which point it reaches its maximum value, and then stays constant from 10 minutes to 20 minutes. This means that Michael has arrived at his destination and is staying there. From 20 minutes the distance starts to decrease, indicating that Michael is returning to his home. The maximum distance reached represents the distance from Michael's home to the shop. From the graph, we see that the maximum distance is 6 km.

3. Final Answer

6 km

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