The statement that best explains how this cellular process provides the energy an organism needs to maintain homeostasis is: "Glucose molecules are broken down, resulting in the release of energy that is captured in ATP."
This statement accurately reflects the process of cellular respiration, where glucose is metabolized to produce ATP, which cells use as a source of energy. During this process, glucose is first converted to pyruvate, then enters the Krebs cycle, and finally leads to the electron transport chain, ultimately resulting in the production of ATP, which is essential for maintaining homeostasis in the organism.