To interpret the key function of the graph for the domain interval \( 9 < t < 14 \), we need to analyze the given options in the context of the time elapsed.
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A cyclist taking a cooldown ride at a slower constant pace - This implies a gradual deceleration or a consistent pace, which could fit a longer time interval.
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A runner sprinting at a constant rate starting at minute nine - This suggests intense activity starting at \( t = 9 \) and persisting beyond, matched to a scenario but typically linked to high energy.
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A runner resting for 5 minutes - This directly suggests inactivity for an interval of time, which may fit a portion of a graph where the function can represent zero speed.
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Driving a car at a constant rate for five hours - This implies a much longer period than what is represented by \( 9 < t < 14 \) since it translates to a time interval unsuitable for the context.
Given the options, if the graph indicates a period of constant speed or inactivity (like a horizontal line on the graph), the most fitting interpretation within the given domain would likely be "a runner resting for 5 minutes." This indicates a static portion in the function's portrayal within that specific time interval, particularly if the function value is consistent and represents no forward motion.