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To solve this problem, we need to determine which graph best represents the relationship between Adam's time and distance traveled, given that he walks 1 kilometer in 30 minutes.

### Key information:
- Adam walks 1 kilometer in 30 minutes.
- 30 minutes is equivalent to **0.5 hours**.
- So, Adam walks at a rate of **2 kilometers per hour** (since 1 kilometer in 0.5 hours means 2 kilometers in 1 hour).

Now, we can analyze the graphs:
- The slope of the graph should represent **2 kilometers per hour**, meaning that for every hour, the distance should increase by 2 kilometers.

### Analysis of the Graphs:
1. **First graph**: The slope seems to be too steep. It does not match 2 kilometers per hour, as it shows much more distance covered in 1 hour.
2. **Second graph**: The slope is a flat line, meaning no movement, which is incorrect.
3. **Third graph**: The slope seems steeper than 2 kilometers per hour, and it indicates covering around 4 kilometers in 1 hour. This doesn't match the given rate.
4. **Fourth graph**: The slope seems to show that Adam travels 2 kilometers in 1 hour, which matches the given walking rate.

### Conclusion:
The **fourth graph** correctly represents the relationship between Adam's time and distance traveled, as it shows a constant rate of 2 kilometers per hour.

Would you like further details or have any questions?

Here are five related questions to deepen your understanding:
1. How do you calculate the slope of a line on a distance-time graph?
2. What does the slope represent in the context of a distance-time graph?
3. How would the graph change if Adam walked faster?
4. How can you convert speeds from kilometers per hour to meters per second?
5. What is the equation of a line representing a constant speed?

**Tip:** Always convert time into consistent units (e.g., hours or minutes) when dealing with speed to avoid confusion.

Adam trains for the local fun run. As part of a training program, Adam walks one kilometer in 30 minutes. Which graph best represents the relationship between Adam's time and distance traveled?

Learn how to identify the correct graph for Adam’s walking rate, where he walks 1 kilometer in 30 minutes, which equals 2 kilometers per hour. This problem helps students understand linear relationships and rates of change, perfect for Grades 6-8.

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