Question

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.



Which times and distances are represented by the function? Select three options.

The starting distance, at 0 hours, is 300 miles.
At 2 hours, the traveler is 725 miles from home.
At 2.5 hours, the traveler is still moving farther from home.
At 3 hours, the distance is constant, at 875 miles.
The total distance from home after 6 hours is 1,062.5 miles.

Answer 1

The correct choices are:
- The starting distance, at 0 hours, is 300 miles.
- At 2 hours, the traveler is 725 miles from home.
- At 3 hours, the distance is constant, at 875 miles.

Reason: the graph gives D(0)=300 and D(2)=725, and shows a horizontal (constant) segment at D(t)=875 at t=3. The other statements are not supported by the graph.