Question

Ken exercise at a park first he run 3 miles in 30 minutes.Then he rests for 15 minutes.Then he runs 2 miles in 15 minutes.Finally he walks 1 mile in 15 minutes.Assume each running and walking segment was done at a constant rate.skecth a graph to represent ken's exercing at the park.the fisrt segment should begin at (0,0).

Answer 1

The horizontal axis represents the time in hours, and the vertical axis represents the number of miles ran.

So for the first part we have 3 miles in 30 minutes (0.5 hour), so we can draw a line from point (0, 0) to point (0.5, 3)

For the second part, he rests for 15 minutes (0.25 hour), so the y-value doesn't change, therefore we have a horizontal line from (0.5, 3) to (0.75, 3).

Then, we have 2 miles in 15 minutes, so we have a line from (0.75, 3) to (1, 5).

And finally, 1 mile in 15 minutes, so a line from (1, 5) to (1.25, 6).

Sketching the graph, we have: