To interpret the key function of the graph for the domain interval \( 9 < t < 14 \), we need to understand the context surrounding the given options. Typically, a piecewise function can represent different scenarios depending on its defined intervals.
The interval \( 9 < t < 14 \) suggests we are looking at a situation that occurs between 9 and 14 minutes. The possible scenarios are as follows:
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A runner sprinting at a constant rate starting at minute nine: This implies the runner is actively running during this timeframe.
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A cyclist taking a cool down ride at a slower constant pace: This option implies a steady but slower effort after potentially exerting themselves.
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A runner resting for 5 minutes: This means that the runner is not engaged in any activity during this timeframe, which would not be consistent if we consider the context of the previous option indicating motion.
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Driving a car at a constant rate for five hours: This would suggest a much longer duration that does not fit within the 9 to 14 minutes timeframe.
Given the choices, the most appropriate interpretation of the interval \( 9 < t < 14 \) would be "a runner sprinting at a constant rate starting at minute nine." This is because the other scenarios either suggest inactivity (the resting scenario) or durations that significantly exceed our specified interval.
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