Question

the recommended dosage is 4 mg/kg/day in 3 divided doses. the child weighs 15 kg. you have 3 mg/2ml available. how many ml would the child receive each dose? ml (if decimal, round to the tenth place.)

Explanation:

Step1: Calculate the total daily dose

The recommended dosage is \(4\) mg/kg/day. The child weighs \(15\) kg.
The total daily dose \(D_{total}=4\times15 = 60\) mg.

Step2: Calculate the dose per administration

Since the daily dose is divided into \(3\) doses, the dose per administration \(D_{per - dose}=\frac{60}{3}=20\) mg.

Step3: Calculate the volume per dose

The concentration is \(3\) mg/2ml. Let the volume per dose be \(V\). Using the proportion \(\frac{V}{D_{per - dose}}=\frac{2}{3}\) (because \(3\) mg corresponds to \(2\) ml).
\(V=\frac{2\times D_{per - dose}}{3}\). Substitute \(D_{per - dose} = 20\) mg into the formula: \(V=\frac{2\times20}{3}=\frac{40}{3}\approx13.3\) ml.

Answer:

\(13.3\)