Final answer:
Lyle's behavior of awaiting his fate quietly coincides with the stage of acceptance in Elizabeth Kübler-Ross's five-stage model of grief.
Step-by-step explanation:
According to Elizabeth Kübler-Ross's five-stage model of grief, Lyle's behavior coincides with the stage of acceptance.
In Kübler-Ross's model, the five stages of grief are denial, anger, bargaining, depression, and acceptance. Lyle's decision to stop fighting the illness and await his fate quietly aligns with the acceptance stage. During this stage, a person adjusts to the idea of death and reaches acceptance, facing death honestly and regarding it as a natural and inevitable part of life, making the most of their remaining time.