Question

Interpret the key function of the graph for the domain interval 9 < t < 14. What scenario can be represented by this portion of the piecewise function? (1 point)
a runner resting for 5 minutes
a cyclist taking a cool down ride at a slower constant pace
driving a car at a constant rate for five hours
a runner sprinting at a constant rate starting at minute nine

Answer 1

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:

1. **A runner resting for 5 minutes** - This would typically represent a flat horizontal line, indicating no distance covered over time.

2. **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.

3. **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.

4. **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.