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)
Responses

a runner sprinting at a constant rate starting at minute nine
a runner sprinting at a constant rate starting at minute nine

a cyclist taking a cool down ride at a slower constant pace
a cyclist taking a cool down ride at a slower constant pace

a runner resting for 5 minutes
a runner resting for 5 minutes

driving a car at a constant rate for five hours

Answer 1

To accurately interpret the key function of the graph for the domain interval \(9 < t < 14\), we need to consider the behavior of the graph in that specific interval. However, since we don't have the graph itself, we can analyze the scenarios provided.

1. **A runner sprinting at a constant rate starting at minute nine** - This scenario suggests that the graph would be a linear segment representing the runner's speed; it implies that the runner is actively covering distance during this interval.

2. **A cyclist taking a cool down ride at a slower constant pace** - Similar to the first scenario, this would also be represented by a linear relationship, albeit at a different constant speed, indicating low intensity compared to running.

3. **A runner resting for 5 minutes** - If the runner is resting, the graph would likely show a horizontal line, indicating no change in distance over time, which does not reflect motion.

4. **Driving a car at a constant rate for five hours** - This scenario suggests a prolonged duration of travel at a steady speed, which is also represented as a linear function but over a significantly longer time than a few minutes.

Given that the interval \(9 < t < 14\) is relatively short (which may indicate activity rather than rest), the most fitting scenario would be:

**a runner sprinting at a constant rate starting at minute nine.**

This interpretation aligns with the idea of motion during that time frame. The other options either imply rest or significantly longer durations that wouldn’t fit the specified interval of 9 to 14 minutes.