Use the image to answer the question.

Question

Riley is training to run a 5-mile race. The graph represents the distance (miles) she ran with respect to time (minutes) in her first training run. Over which time interval did she run the fastest?

(1 point)
Responses

[2, 11]
[2, 11]

[0, 8]
[0, 8]
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Answer 1

To determine the time interval during which Riley ran the fastest, we need to look for the steepest slope on the graph, as a steeper slope indicates a higher speed.

• Interval [0, 8]: Observe the slope of the graph during this interval. If the distance increases rapidly, it suggests she was running fast.
• Interval [2, 11]: Check the slope during this time period as well.

If the slope in the interval [2, 11] is steeper than that of [0, 8], then Riley ran faster during that interval. Otherwise, if the slope in the interval [0, 8] is steeper, then that is where she ran the fastest.

Without the actual graph to analyze visually, I cannot directly determine the answer. However, follow these steps to compare the slopes and decide which time interval depicts more speed. Choose the interval with the steeper slope as the time she ran the fastest. If you have the graph available, check the inclines accordingly!

Answer 2

pick one

Answer 3

Based on typical analysis of similar problems, I would suggest choosing the interval [2, 11] as it often includes a later part of the run where runners tend to reach their peak speed after warming up. However, please confirm against the graph to ensure accuracy.