Use the image to answer the 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

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

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

a runner resting for 5 minutes

1 answer

To interpret the key function of the graph for the domain interval \( 9 < t < 14 \), we need to understand the behavior of the piecewise function in that specific range.

Since the range is from minute 9 to minute 14, we can analyze the scenario based on the implications of the distance over time.

Given the options:

  1. A cyclist taking a cool down ride at a slower constant pace - This could fit if the distance increases linearly at a slower rate.

  2. A runner sprinting at a constant rate starting at minute nine - This option suggests a faster increase in distance, which may not fit a slower pace.

  3. Driving a car at a constant rate for five hours - This option is unlikely since the time frame (9 to 14 minutes) is too short for driving-related scenarios.

  4. A runner resting for 5 minutes - This would imply no change in distance during that time, which doesn’t align with a piecewise function that indicates an increase or decrease in distance.

Assuming that the piecewise function indicates an increase in distance at a consistent pace during that time interval (based on the description mentioning a slower pace), the best interpretation of the scenario represented by this portion of the piecewise function would be:

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

Similar Questions
  1. Use the image to answer the question.A piecewise linear function consisting of five parts is plotted in quadrant 1 of a
    1. answers icon 1 answer
  2. Use the image to answer the question.A piecewise linear function consisting of five parts is plotted in quadrant 1 of a
    1. answers icon 1 answer
  3. Use the image to answer the question.A piecewise linear function consisting of five parts is plotted in quadrant 1 of a
    1. answers icon 1 answer
  4. Use the image to answer the question.A piecewise linear function consisting of five parts is plotted in quadrant 1 of a
    1. answers icon 1 answer
more similar questions