Question

Use the image to answer the question.



Interpret the key function of the graph for the domain interval 9<t<14
9
<
𝑡
<
14
. What scenario can be represented by this portion of the piecewise function?

(1 point)
Responses

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

driving a car at a constant rate for five hours
driving a car at a constant rate for five hours

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

Answer 1

To interpret the key function of the graph for the domain interval \(9 < t < 14\), we need to determine what is occurring in that time frame. Given the options provided:

1. **A runner resting for 5 minutes** – This might suggest a range of times where the runner is stationary.
2. **Driving a car at a constant rate for five hours** – This implies ongoing motion, possibly not confined to the \(9 < t < 14\) interval.
3. **A runner sprinting at a constant rate starting at minute nine** – This would suggest that at \(t=9\) the runner begins their sprinting, which aligns with a continuous movement.
4. **A cyclist taking a cool down ride at a slower constant pace** – This suggests a form of activity that may indeed occur over a specified interval.

Given the emphasis on the interval \(9 < t < 14\) and implying a continuous activity, the best interpretation is:

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

This option suggests an ongoing action starting at the lower bound of the interval.