This question asks you to match the correct graph to the story involving Tom's journey. Let's break down the scenario:

1. Starting from home, Tom walks to his friend's house. This suggests a steady increase in his distance from home as time progresses.
2. He stays there for a while, meaning his distance remains constant for a certain period of time.
3. When he realizes he's late for dinner, he runs home quickly, meaning his distance from home decreases rapidly.

Interpreting the graphs:

• Graph A: Shows a steep, continuous increase in distance, which doesn't fit the story.
• Graph B: Displays a steady increase, but no period where Tom stays at a constant distance, nor a rapid return home.
• Graph C: Shows an increase in distance, followed by a flat (constant distance), and then a steep decrease, which matches the story.
• Graph D: Represents a rise and fall in distance, but without a flat, steady period, which doesn't match the details.

Conclusion:

The correct graph is Graph C, as it represents Tom walking away from home, staying at his friend's house, and then returning home quickly.

Would you like further explanation or have any other questions? Here are five related questions to deepen your understanding:

1. What would the graph look like if Tom had run both to and from his friend’s house?
2. How would the graph change if Tom didn’t stop at his friend's house?
3. What mathematical concepts are used to interpret the steepness of the graph?
4. How can we calculate Tom's speed from this graph?
5. How would the graph look if Tom took longer to realize he was late for dinner?

Tip: When analyzing motion or travel problems, the slope of the graph tells you about speed—steeper means faster!