Step-by-step explanation:
a. Promethazine
The nurse should administer promethazine to the client who reports nausea and has vomited clear emesis. Promethazine is an antiemetic medication commonly used to relieve nausea and vomiting. It works by blocking certain receptors in the brain that trigger nausea and vomiting.
Option b, ibuprofen, is a nonsteroidal anti-inflammatory drug (NSAID) that is primarily used for pain relief and reducing inflammation. It is not indicated for nausea or vomiting.
Option c, antibiotics, would only be administered if there is an underlying bacterial infection that requires treatment. Nausea and vomiting alone do not necessarily indicate the need for antibiotics.
Option d, insulin, is used to manage blood glucose levels in individuals with diabetes. It is not directly related to the treatment of nausea and vomiting.
Therefore, the appropriate medication for the nurse to administer in this situation is promethazine (option a). However, it is important to consult with a healthcare provider for a proper assessment and prescription before administering any medication.