To determine during which interval Riley ran the fastest, we need to identify the segments of the graph where her speed (slope of the distance vs. time graph) is the greatest.
The speed can be determined by looking at the change in distance divided by the change in time (\( \text{speed} = \frac{\Delta \text{distance}}{\Delta \text{time}} \)) over each specified interval.
- Interval [0, 2]: Calculate the distance and time.
- Interval [0, 8]: Calculate the distance and time.
- Interval [2, 8]: Calculate the distance and time.
- Interval [2, 11]: Calculate the distance and time.
If we assume a hypothetical graph for analysis, the interval with the largest distance covered in the smallest amount of time will indicate that she was running the fastest.
Assuming this information can be derived from the graph, we can then check each interval to see which yields the highest speed value.
Once those values are calculated, you can determine the fastest interval visually or mathematically.
Since we do not have the actual graph, I suggest selecting the interval based on your observations from the graph, looking for the steepest slope, or the greatest increase in distance over the time parameter.
If you provide specific data points from the graph, I can give a more definite answer.