A history for the graph could be:
Adam was 7 miles from home. He was tired because his day at work, so he decided to stop walking and drink some water two minutes. Then, he started to run to his home four minutes with a constant speed. He ran until there were 5 miles left to arrive to his house.
He realized that he was late, so he ran faster for two minutes, and then, he arrived home.
He was tired so he lied on his bed for 6 minutes, and then, he needed to go to the supermarket which is 9 miles from home with his brother, so they take their bicycles out and it took 6 minutes to arrive there.