ANSWER
D. Arriving home
Step-by-step explanation
We are given that positive velocity represents moving away from home and negative velocity represents moving towards home.
The positive velocity part of the distance-time graph is the part where the graph is increasing (slope if positive). That is the left side of the graph.
The negative velocity part of the graph is the part where the graph is decreasing (slope is negative). That is the right side of the graph.
The x intercept is on the right hand side of the graph and it is at a point where the distance is 0 miles.
This means that the x intercept represents the point where the car arrived home.
So, the answer is Option D.