Final answer:
Nurse Allyson should administer intravenous ampicillin and gentamicin to Mr. Jones for his meningitis treatment, followed by supportive care, hospital observation, and then oral antibiotics at home.
Step-by-step explanation:
Based on the information provided, Nurse Allyson should administer two specific antibiotics to Mr. Jones as per the new prescriptions, particularly if his symptoms are indicative of a serious infection like meningitis. The prescribed course includes ampicillin and gentamicin, both of which need to be delivered intravenously. This aggressive antibiotic therapy is warranted due to the life-threatening nature of meningitis and the ineffectiveness of the initial antibiotic treatment to prevent the spread of the infection. Alongside these medications, Mr. Jones would require supportive care and observation in the hospital, followed by a period of bed rest and oral antibiotics at home until he makes a full recovery.