Final answer:
Victor shows his appreciation to Thomas for the trip by keeping a promise to listen to one of Thomas's stories, symbolizing the mending of their friendship.
Step-by-step explanation:
In the short story This Is What It Means to Say Phoenix, Arizona by Sherman Alexie, Victor thanks Thomas for the trip to Phoenix by reluctantly fulfilling an old promise. Despite their estranged relationship, Victor reconciles with Thomas in the end. After collecting his father's remains and estate, Victor doesn't have much to give, but he does something significant. He keeps his word by offering Thomas companionship - he agrees to listen to one of Thomas's stories. This simple act serves as a meaningful gesture of gratitude and represents the beginning of a repaired friendship between them. It's a profound thank you that goes beyond material value and acknowledges the emotional support and the shared journey they experienced.