To interpret the key function of the graph for the domain interval \(9 < t < 14\), we need to determine what is occurring in that time frame. Given the options provided:
- A runner resting for 5 minutes – This might suggest a range of times where the runner is stationary.
- Driving a car at a constant rate for five hours – This implies ongoing motion, possibly not confined to the \(9 < t < 14\) interval.
- A runner sprinting at a constant rate starting at minute nine – This would suggest that at \(t=9\) the runner begins their sprinting, which aligns with a continuous movement.
- A cyclist taking a cool down ride at a slower constant pace – This suggests a form of activity that may indeed occur over a specified interval.
Given the emphasis on the interval \(9 < t < 14\) and implying a continuous activity, the best interpretation is:
A runner sprinting at a constant rate starting at minute nine.
This option suggests an ongoing action starting at the lower bound of the interval.
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