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The graph depicts Manuel's distance from his house over time, which suggests his movement on a bike. Here’s a breakdown of what is happening based on the graph:

1. **Initial movement (upward slope)**: At the beginning, the graph shows a steady increase in distance, meaning Manuel is riding his bike away from his house at a constant speed.

2. **Constant distance (flat horizontal line)**: After the initial increase, the graph levels off, indicating that Manuel has stopped moving further away from his house. He is either resting or staying at a constant location for a period of time.

3. **Return (downward slope)**: The graph then slopes downward, showing that Manuel is riding back towards his house. The slope's steepness suggests he is returning at a constant speed similar to his initial movement away from the house.

4. **End (flat at the bottom)**: Finally, the graph flattens again at zero distance, meaning Manuel has returned to his starting point, which is his house, and has stopped.

Would you like further details or have any questions on this explanation?

Here are 5 related questions to deepen your understanding:

1. What does the slope of a graph represent in terms of speed or velocity?
2. How can you tell from the graph when Manuel is stationary?
3. What would the graph look like if Manuel changed speed during his trip?
4. How could this graph be used to calculate Manuel’s total time on the trip?
5. What would the graph look like if Manuel did not return to his house?

**Tip:** When analyzing distance-time graphs, the slope of the graph tells you how fast the subject is moving—steeper slopes mean faster movement, while flat sections indicate no movement at all.

Manuel is riding his bike. The graph represents the distance Manuel travels from his house over time. Describe what is happening as depicted in the graph.

This lesson explains how to interpret a distance-time graph representing Manuel's bike ride. Learn how to analyze changes in distance, speed, and when Manuel is stationary. Suitable for students in Grades 6-8.

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