Final answer:
The common intervention needed after persistent vomiting is rehydration to replace fluids lost. This can be done through increased fluid intake, such as oral rehydration solutions, or, in severe cases, through intravenous fluids.
Step-by-step explanation:
After persistent vomiting, the common intervention that is often needed is rehydration. Vomiting can lead to dehydration, so it's important to replace the fluids that have been lost. This can be done by increasing fluid intake, either through oral rehydration solutions (a combination of water, salts, and sugar) or, in severe cases, through intravenous fluids. Antibiotics are generally not prescribed for vomiting, as most cases are caused by viruses.