Final answer:
The term for a cell that eats or swallows, built using -cyte, is 'phagocyte,' which refers to cells that perform phagocytosis to engulf and digest large particles, aiding the immune system.
Step-by-step explanation:
The word built using -cyte that means a cell that eats or swallows is phagocyte. This term refers to the type of cells that perform phagocytosis, a form of endocytosis. Phagocytosis is the process by which cells engulf and digest large particles, such as microorganisms or cellular debris. Examples of phagocytes include neutrophils and macrophages, which are white blood cells that play an essential role in the immune system by removing pathogens through this process. During phagocytosis, a phagocyte extends pseudopodia to surround and engulf the target particle, ultimately forming a phagosome. This phagosome then fuses with a lysosome within the cell, where hydrolytic enzymes break down the ingested material, destroying potential threats to the organism's health.