To interpret the key function of the graph for the domain interval \(9 < t < 14\), we need to know what the graph indicates about distance and time during that period of the piecewise function. Based on common scenarios for such functions, the following can be inferred for each option:
- A cyclist taking a cool down ride at a slower constant pace - This suggests a gradual increase in distance over time, matching a typical cool-down scenario.
- A runner resting for 5 minutes - This would generally indicate a horizontal line (no distance change), which wouldn't represent an increase in distance.
- A runner sprinting at a constant rate starting at minute nine - This implies a consistent increase in distance at a faster rate, which again may not suit the “cool down” interpretation.
- Driving a car at a constant rate for five hours - Assuming this interval is much shorter than five hours, this option is not fitting.
Given the context that you're focusing on a piecewise linear function in quadrant 1 and finessing through distance and time, the most suitable scenario for the domain \(9 < t < 14\) could be that the cyclist continues at a slower constant pace during a cool down phase.
Thus, the correct interpretation would be:
A cyclist taking a cool down ride at a slower constant pace.
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