What is the medical term meaning structures in cytoplasm where food burned to release energy?

The correct answer is mitochondria.

Mitochondria are organelles that are found in the cytoplasm of most eukaryotic cells. They are responsible for the production of adenosine triphosphate (ATP), which is the energy currency of the cell. ATP is produced through the process of oxidative phosphorylation, which involves the transfer of electrons from food molecules to oxygen.