Final answer:
For representing the distance traveled to a friend's house over time, a Distance vs. Time graph is most appropriate. This graph provides a visual representation of how far you have walked and how your speed might have varied during the walk. It is the best choice for tracking total distance without considering direction.
Step-by-step explanation:
To visualize the distance you travel as you walk to your friend's house during a 1-hour time period, you would consider using a Distance vs. Time graph. This type of graph will show you how the distance you traveled changes over the 1-hour period. If your speed varies, the slope of the graph will change accordingly, providing a visual representation of your speed changes over time.
On such a graph, the horizontal x-axis represents the time elapsed while the vertical y-axis represents the distance traveled. If you walked at a constant speed, the graph would be a straight line with a positive slope. If you stopped or changed your walking speed, the slope would flatten or steepen, respectively.
The concept that the area under a Velocity vs. Time graph represents displacement is important when dealing with velocity. However, since the question specifically asks for the total distance traveled, which does not take into account the direction, the Distance vs. Time graph is more appropriate. The position vs. time graph can also be used, especially if you are interested in your position in relation to a reference point at any given time.