You drive your bike to the park sit down and read for a while then ride back it takes less time to ride from the park to your house then it is riding from your house to the park . Draw a sketch of a graph that shows your possible distance traveled over time.

As an AI text-based model, I cannot draw sketches. However, I can explain how the graph would look like based on the given scenario.

Let's assume that the x-axis represents time (in minutes or hours) and the y-axis represents the distance traveled (in miles or kilometers).

First, when you start riding your bike from your house to the park, the graph would show an increasing line, indicating that the distance you travel is increasing over time.

Once you reach the park, you sit down and read for a while. During this time, the graph would become flat, indicating that you are not traveling any further.

After some time, when you decide to ride back home, the graph would show a decreasing line, indicating that the distance you travel is decreasing over time.

However, since it takes less time to ride from the park to your house than from your house to the park, the slope of the decreasing line when riding back home would be steeper than the increasing line when riding to the park. This would create a noticeable difference in the steepness of the two lines on the graph.

Overall, the graph would show an increasing line at the beginning, a flat line during the time you spend at the park, and a steeper decreasing line afterward.