https://file.aiquickdraw.com/mathbot/file/1728511345989hxqv19d2.jpg

To determine which line represents the distance traveled by Noah and which represents the distance traveled by Diego, we should consider the distances each covered after 8 seconds.

From the problem:
- After 8 seconds, Noah is 17 meters from the ticket booth.
- After 8 seconds, Diego is 43 meters from the ticket booth.

The graph shows two lines:
- A **blue line** that is steeper.
- A **black line** that is less steep.

Since Diego covered more distance (43 meters) compared to Noah (17 meters) in the same time frame, he traveled at a faster speed. A steeper slope indicates a higher speed, so:

- The **blue line** represents Diego.
- The **black line** represents Noah.

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. How do you calculate the speed from the slope of a line in a distance-time graph?
2. What is the formula to find the slope of a line in general?
3. If the time had been doubled, how far would each person have traveled?
4. What is the relationship between distance, speed, and time?
5. How would the graph change if Noah increased his speed?

**Tip:** In a distance-time graph, the steeper the line, the faster the speed.

Noah and Diego left the amusement park's ticket booth at the same time. After 8 seconds, Noah was 17 meters from the booth, and Diego was 43 meters from the booth. Which line represents the distance traveled by Noah and which by Diego?

Learn how to analyze a distance-time graph where Noah and Diego move at different speeds. This problem helps students understand the relationship between slope and speed, with Noah covering 17 meters and Diego covering 43 meters in 8 seconds.

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