Final answer:
We can represent Jason's trip using a position versus time graph, showing him walking towards the school, returning home, searching for his book, and finally walking to school at double speed.
Step-by-step explanation:
To graph Jason's trip to school, we will use a position versus time graph. The graph will have time on the x-axis and position on the y-axis.
- Starting from his home (position 0 m), Jason walks 50 m towards school which takes him 2 minutes before he realizes he forgot his book.
- He then turns around and walks 50 m back to his house at the same speed, taking another 2 minutes.
- Upon arriving home, he spends 1 minute looking for his books.
- Finally, Jason walks 100 m to the school at twice his original speed, which would take half the time compared to when he first started. If it took him 2 minutes to walk 50 m at his original speed, it would take him 2 minutes to reach the school at double speed.
The graph starts with a line sloping upwards for 2 minutes, flattens for 1 minute as Jason searches for his book, and then slopes upwards again, but steeper as he walks to school at twice the speed.