Final answer:
To administer the correct dose of fluphenazine decanoate, divide the prescribed dose of 37.5 mg by the available concentration of 25 mg/mL, which results in 1.5 mL of solution to be given.
Step-by-step explanation:
To calculate how much solution of fluphenazine decanoate should be administered, we use the dosage prescribed and the concentration of the medication available. The prescribed dosage is 37.5 mg, and the available medication concentration is 25 mg/mL.
To find the volume of solution needed, we divide the prescribed dosage by the concentration:
Volume of fluphenazine decanoate solution = Prescribed dosage / Concentration
Volume of fluphenazine decanoate solution = 37.5 mg / 25 mg/mL
Volume of fluphenazine decanoate solution = 1.5 mL
Therefore, the nurse should administer 1.5 mL of the fluphenazine decanoate solution.