A track runner ran for 15 minutes, stretched in place for 15 minutes, ran for another 20 minutes, and then rested in place for 10 minutes.

Which graph describes the relationship between runner's total distance and time?

graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a horizontal line segment from 0.25 comma 1.25 to 0.5 comma 1.25, a line segment from 0.5 comma 1.25 to 0.8 comma 2.4, and a horizontal line segment from 0.8 comma 2.4 to 1 comma 2.4

graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a line segment from 0.25 comma 1.25 to 0.5 comma 1.75, a line segment from 0.5 comma 1.75 to 0.8 comma 2.95, and a horizontal line segment from 0.8 comma 2.95 to 1 comma 2.95

graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a horizontal line segment from 0.25 comma 1.25 to 0.5 comma 1.25, a line segment from 0.5 comma 1.25 to 0.8 comma 0.1, and a horizontal line segment from 0.8 comma 0.1 to 1 comma 0.1

graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a line segment from 0.25 comma 1.25 to 0.5 comma 1.75, a line segment from 0.5 comma 1.75 to 0.8 comma 2.95, and a line segment from 0.8 comma 2.95 to 1 comma 3.15

Respuesta :

Answer:

the graph shows a line segment from (0,0) to (0.25,1.25) to represent the first running period, followed by a horizontal line segment from (0.25,1.25) to (0.5,1.25) to represent the stretching time, then a line segment from (0.5,1.25) to (0.8,2.4) to represent the second running period, followed by another horizontal line segment from (0.8,2.4) to (1,2.4) to represent the resting time

Step-by-step explanation:

What is the line segment of the graph?

In geometry, a line segment is part of a straight line that is bounded by two distinct end points and contains every point on the line that is between its endpoints.

The graph that describes the relationship between the runner's total distance & time is:

graph with the x-axis labeled time in hours and the y-axis labeled total distance in miles, with a line segment from 0,0 to 0.25,1.25, a horizontal line segment from 0.25,1.25 to 0.5,1.25, a line segment from 0.5,1.25 to 0.8,2.4, and a horizontal line segment from 0.8,2.4 to 1,2.4.

The runner ran for a total of 35 minutes, which is 0.5833 hours (15 minutes + 20 minutes). During this time, the runner covered a distance of 2.4 miles (45 mph * 0.25 hours + 60 mph * 0.3333 hours).

After adding the time spent stretching and resting, which is 0.5 hours, the total time is 1 hour, and the total distance covered is still 2.4 miles since the runner did not move during the stretching and resting time.

Therefore, the graph shows a line segment from (0,0) to (0.25,1.25) to represent the first running period, followed by a horizontal line segment from (0.25,1.25) to (0.5,1.25) to represent the stretching time, then a line segment from (0.5,1.25) to (0.8,2.4) to represent the second running period, followed by another horizontal line segment from (0.8,2.4) to (1,2.4) to represent the resting time.