Use the image to answer the question.

Question

A piecewise linear function consisting of three parts is plotted in quadrant 1 of a coordinate plane. The x-axis is labeled Time in minutes, and the y-axis is labeled Distance in miles.

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

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 runner resting for 5 minutes
a runner resting for 5 minutes

Answer 1

To interpret the portion of the piecewise linear function for the domain interval \(9 < t < 14\), we need to consider the characteristics of linear functions in this context.

Since the interval is between 9 and 14 minutes, if the function is linear during this section, it implies that the distance is changing at a constant rate over this time period.

The plausible interpretation of this scenario is that "a cyclist taking a cool down ride at a slower constant pace" is most fitting for this interval, as it suggests a gradual change in distance rather than a sudden increase (as would be associated with sprinting) or a complete stop (as would be implied by resting).

Therefore, the appropriate response is:

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