Final answer:
To administer the resident with chronic sinusitis their dose of penicillin V 300,000 units, you would give them 3.75 milliliters of the solution, calculated by setting up a proportion based on the concentration provided.
Step-by-step explanation:
The question involves calculating the correct dosage of medication in milliliters when given the dosage in units and the concentration of the medication. The resident with chronic sinusitis receives penicillin V 300,000 units by mouth 4 times a day. You have penicillin V solution at 400,000 units per 5 ml. To determine the dosage in milliliters, you would set up a proportion:
400,000 units/5 ml = 300,000 units/x ml
Now, cross-multiply and solve for x:
(400,000 units) (x ml) = (300,000 units) (5 ml)
x ml = (300,000 units * 5 ml) / 400,000 units = 3.75 ml
Therefore, you will administer 3.75 milliliters of the penicillin V solution to provide 300,000 units of penicillin V to the patient.