The nurse is preparing a dose of 60 mcg of teriparatide. The medication is labeled "750 mcg/2.4 mL". How many ml. should the nurse administer? (Enter numeric value only. If rounding is required, round to the nearest tenth.)
Explanation & Rationale
Step-by-step Calculation: We need to find the volume (in mL) of teriparatide that contains the desired dose of 60 mcg. Set up the proportion: dose (mcg) / concentration (mcg/mL) = volume (mL) Fill in the known values: Dose (mcg): 60 mcg (as given in the problem) Concentration (mcg/mL): 750 mcg/2.4 mL (from the medication label) Solve for the volume: Multiply both sides of the proportion by the concentration to isolate the volume on the left: dose (mcg) = volume (mL) concentration (mcg/mL) Substitute the known values: 60 mcg = volume (mL) (750 mcg / 2.4 mL) Calculate the volume: Divide both sides by the concentration to solve for the volume: volume (mL) = 60 mcg / (750 mcg / 2.4 mL) Simplify: volume (mL) = (60 mcg 2.4 mL) / 750 mcg volume (mL) = 0.192 mL (approximately) Rounding (optional): The problem specifies rounding to the nearest tenth. Since 0.192 is closer to 0.2 than 0.1, the rounded volume is: volume (mL) = 0.2 mL (rounded to one decimal place) Therefore, the nurse should administer 0.2 mL of teriparatide.