The correct graph that models the piecewise function for the given situation is: (0, 0) (10, 10), (10, 10),(25, 10),(35, 15).
The correct graph that models the piecewise function for the given situation is:
In the first 10 minutes, John covers a distance of 1 mile every minute, so the graph should increase linearly from (0, 0) to (10, 10).
During the 15-minute break, John does not cover any additional distance, so the graph should remain at (10, 10) for the next 15 minutes.
In the next 10 minutes, John covers a distance of 0.5 miles every minute, so the graph should increase linearly from (25, 10) to (35, 15).
This piecewise function can be represented mathematically as:
f(t) = {
t, if 0 ≤ t ≤ 10
10, if 10 ≤ t ≤ 25
0.5t - 5, if 25 ≤ t ≤ 35
}