To interpret the key function of a graph for the interval 9 < t < 14, we first need to determine what the function depicts in terms of activity or movement.
If we analyze the options given:
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A runner resting for 5 minutes - This would typically represent a flat horizontal line, indicating no distance covered over time.
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A cyclist taking a cool down ride at a slower constant pace - This indicates a linear function where distance increases at a constant rate, but at a slower speed than before.
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Driving a car at a constant rate for five hours - This would also represent a linear function where distance increases at a constant rate over time.
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A runner sprinting at a constant rate starting at minute nine - This suggests that right at minute nine, the graph starts to show an increase in distance, representing a constant and possibly faster speed.
Since we are focusing on the interval from 9 < t < 14, if the graph shows an increasing trend that starts at minute 9 and continues upward (indicating steady movement), the most fitting scenario would be:
A runner sprinting at a constant rate starting at minute nine.
This interpretation aligns with the notion of the runner beginning to cover distance (sprinting) during this specific time interval.
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