To accurately interpret the graph of Sophia's distance from her home to her workplace and determine how long it takes her to get home, I would need to see the actual graph you're referring to. Since I cannot see images or graphs, please describe the key features or any important data points on the graph.
Typically, you would look for the point where the distance from her home reaches zero again, indicating that she has arrived home. The time it takes to reach this point would give you the answer.
If you provide the details about the graph, I can help you interpret it further.