To interpret the key function of the graph for the domain interval \( 9 < t < 14 \), we need to understand the behavior of the piecewise function in that specific range.
Since the range is from minute 9 to minute 14, we can analyze the scenario based on the implications of the distance over time.
Given the options:
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A cyclist taking a cool down ride at a slower constant pace - This could fit if the distance increases linearly at a slower rate.
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A runner sprinting at a constant rate starting at minute nine - This option suggests a faster increase in distance, which may not fit a slower pace.
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Driving a car at a constant rate for five hours - This option is unlikely since the time frame (9 to 14 minutes) is too short for driving-related scenarios.
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A runner resting for 5 minutes - This would imply no change in distance during that time, which doesn’t align with a piecewise function that indicates an increase or decrease in distance.
Assuming that the piecewise function indicates an increase in distance at a consistent pace during that time interval (based on the description mentioning a slower pace), the best interpretation of the scenario represented by this portion of the piecewise function would be:
A cyclist taking a cool down ride at a slower constant pace.
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