Final answer:
A variceal balloon catheter is used to control bleeding from esophageal varies by applying pressure. It is inserted into the esophagus and stomach and can be inflated to stop the bleeding.
Step-by-step explanation:
The correct term for a balloon catheter that is inserted into the esophagus and into the stomach to control bleeding from esophageal varies is Variceal balloon catheter.
This specialized catheter has a balloon at the tip that can be inflated to apply pressure and stop the bleeding. It is used in procedures like angioplasty to widen the occlusion and restore blood flow.