How many milliliters of an injection containg 1 mg of drug per milliliter of injection should be adminstered to a 6-month-old child weighing 16 Ibs. to achieve a subcutaneous dose of 0.01 mg/kg?

0.0726mL

Step-by-step explanation:

Let's find the answer by using the following formula:

(subcutaneous dose) = (milliliters of the injection) * (drug concentration) / (child weight)

Using the given data we have:

(0.01mg/kg) = (milliliters of the injection) * (1mg/mL) / (16lbs)

milliliters of the injection = (0.01mg/kg) * (16lbs) / (1mg/mL)

Notice that the data has different units so:

1kg=2.20462lbs then:

16lbs * (1kg/2.20462lbs) = 7.25748kg

Using the above relation we have:

milliliters of the injection = (0.01mg/kg) * (7.25748kg) / (1mg/mL)

milliliters of the injection=0.0726mL