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

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

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 analyze the nature of the graph over that time period. If this section of the graph is linear and shows a consistent slope, it indicates that the distance is increasing at a constant rate, suggesting that an activity is being performed at a steady pace.

Given the provided options, the most fitting scenario for a piece of the graph in this interval would likely be "a runner sprinting at a constant rate starting at minute nine," as it implies activity at a steady pace which aligns with a linear increase in distance over time.

Thus, the best response based on the interpretation of the key function of the graph for the interval \(9 < t < 14\) is:

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