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The question asks to identify which graph models walking directly away from a motion sensor at a constant rate. Let’s analyze each graph:

- **Graph a**: The distance \( d \) remains constant over time \( t \), indicating no movement. This would not represent walking away or towards the sensor.
  
- **Graph b**: The distance \( d \) decreases linearly with time \( t \), indicating movement towards the sensor at a constant rate, but not away from it.

- **Graph c**: The distance \( d \) increases linearly with time \( t \), which indicates walking away from the sensor at a constant rate. This is the correct graph.

- **Graph d**: The distance \( d \) increases, but at a decreasing rate (curved graph), suggesting an acceleration or deceleration, which doesn't fit the description of a constant rate.

Thus, the correct answer is **C**.

Would you like more details on any of these graphs? Here are five related questions:

1. What does a graph look like if someone is walking towards the sensor at a constant rate?
2. How would the graph look if the person is walking away from the sensor at a non-constant rate?
3. Can you explain what kind of motion Graph D might represent?
4. How would a graph change if the person started walking, stopped, then started again?
5. Why does Graph A not represent any motion?

**Tip**: A straight line (linear relationship) on a distance-time graph indicates constant speed.

Which graph models walking directly away from a motion sensor at a constant rate?

Learn how to identify graphs that model walking away from a motion sensor at a constant rate. Understand linear relationships in distance-time graphs and apply formulas for constant motion. Suitable for students in Grades 7-10.

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