Question

in nursing, one procedure for determining the dosage for a child is
child dosage = \\( \frac { \text { age of child in years } } { \text { age of child } + 12 } \cdot \text { adult dosage } \\)
if the adult dosage of a drug is 342 ml, how much should a 10 - year old child receive? round your answer to the nearest hundredth.
answer
child dosage = \\( \square \\) ml

Explanation:

Step1: Substitute values into formula

Given the formula \(child\ dosage=\frac{age\ of\ child\ in\ years}{age\ of\ child + 12}\cdot adult\ dosage\), with \(age\ of\ child = 10\) years and \(adult\ dosage=342\) mL. Substitute these values: \(\frac{10}{10 + 12}\cdot342\).

Step2: Simplify denominator

First, calculate \(10+12 = 22\). So the expression becomes \(\frac{10}{22}\cdot342\).

Step3: Simplify fraction

\(\frac{10}{22}=\frac{5}{11}\). Then the expression is \(\frac{5}{11}\cdot342\).

Step4: Perform multiplication

\(\frac{5\times342}{11}=\frac{1710}{11}\approx155.4545\).

Step5: Round to the nearest hundredth

Rounding \(155.4545\) to the nearest hundredth gives \(155.45\).

Answer:

\(155.45\)