To interpret the section of the piecewise function for the domain interval \( 9 < t < 14 \), we need to consider what scenario is represented by this portion of the graph.
Since the interval is specifically between 9 and 14 minutes, we can deduce the likely scenarios:
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A runner sprinting at a constant rate starting at minute nine: If the graph is linear and shows an increase in distance over time, this could represent a runner who starts running at minute 9 and maintains a steady speed until minute 14.
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Driving a car at a constant rate for five hours: This option doesn't fit because the time frame discussed here is only five minutes, not five hours.
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A cyclist taking a cool-down ride at a slower constant pace: If the graph shows a linear increase but at a slower rate than other intervals, this could be possible, but it doesn't strongly fit with the specific constant speed interpretation.
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A runner resting for 5 minutes: If the interval were horizontal (indicating no increase in distance), this could apply. However, given the context of the question likely pertains to movement, this is less likely.
Given these considerations, the best interpretation for the domain interval \( 9 < t < 14 \) is “a runner sprinting at a constant rate starting at minute nine." This corresponds to a linear increase in distance from 9 to 14 minutes, indicating a consistent and active pace during that time.
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