Discussion
Doses of children are calculated by Young's formula, which formula is right?
Answer: A
Young's formula is adult dose × age of child / (age of child + 12).
With the child's age \(A\) in years:
\[ \begin{aligned} &\text{Child dose} \\ &= \frac{A}{A + 12} \times \text{Adult dose} \end{aligned} \]
For a 6-year-old:
\[ \begin{aligned} \frac{6}{6 + 12} &= \frac{6}{18} \\ &= \frac{1}{3}\ \text{of the adult dose} \end{aligned} \]
The formula is meant for children aged about 1 to 12 years. Adding 24 to the age, or multiplying it by 12, gives far too small a dose, and multiplying the adult dose by the age plus 12 gives far too large a one, many times the adult dose.
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