Questions: The dose of medicine prescribed for a child depends on the child's age A in years and the adult dose D for the medication. Young's Rule is a formula used by pediatricians that gives a child's dose C as C = (D A)/(A+12) Suppose that a 12-year-old child needs medication, and the normal adult dose is 1200 mg. What size dose should the child receive?

Solution Steps

To find the dose for the child using Young's Rule, we need to substitute the given values into the formula. The child's age \( A \) is 12 years, and the adult dose \( D \) is 1200 mg. We will calculate the child's dose \( C \) using the formula:

\[ C = \frac{D \times A}{A + 12} \]

We are given:

• Child's age \( A = 12 \) years
• Adult dose \( D = 1200 \) mg

Young's Rule formula is: \[ C = \frac{D \times A}{A + 12} \] Substitute the given values: \[ C = \frac{1200 \times 12}{12 + 12} = \frac{14400}{24} \]

Perform the division: \[ C = 600 \]

Final Answer