The correct statement is:

D. Between 21 and 30 minutes, Gil's distance from home is increasing.

Explanation:

• From 0 to 9 minutes: The graph shows that Gil's distance increases from 0 to 0.4 miles. Thus, statement A is false.
• From 9 to 15 minutes: The graph shows that Gil's distance decreases from 0.4 miles to 0.2 miles. Thus, statement B is false.
• From 15 to 21 minutes: The graph shows that Gil's distance stays constant at 0.2 miles. It is not 0 miles, so statement C is false.
• From 21 to 30 minutes: The graph shows that Gil's distance increases from 0.2 miles to 0.6 miles. Thus, statement D is true.

Would you like further analysis or visual confirmation of this?

Expanding Questions:

1. How can we interpret the slope of the line on a distance-time graph?
2. What does it mean when the slope of the graph is zero (horizontal line)?
3. Can you calculate the rate of change for each segment of Gil's walk?
4. How would the graph look if Gil returned directly home after 30 minutes?
5. What other real-life activities can be modeled with a similar graph?

Tip:

Always observe changes in the slope of a distance-time graph to understand whether distance is increasing, decreasing, or constant.