Final answer:
The nurse practitioner should prescribe Rifampin BID for 2 days.
Step-by-step explanation:
The appropriate action for the nurse practitioner to take in this scenario would be to prescribe Rifampin BID for 2 days. Meningitis caused by N. meningitidis is highly contagious and can be spread from person to person through close contact. In situations where there has been close contact with someone diagnosed with meningitis, prophylactic antibiotics are often prescribed to lower the risk of contracting the disease.