Question

Young’s Rule for determining the amount of medicine dosage for a child is given by the formula: C equals space fraction numerator a d over denominator left parenthesis a space plus 12 right parenthesis end fraction where a is the child’s age and d is the usual adult dosage in mg and c is the child dosage in mg. Suppose the adult dosage of a particular medication is 10 times your age in mg. Use Young’s Rule to convert the adult dosage to a child dosage. State your age. If you don’t want to provide your actual age, you can use the age of another adult in your life. Calculate, “d”, the adult dosage in mg. Provide, “a”, the age of a child between the ages of 2 and 12. Calculate, “c”, the child dosage in mg.

Answer 1

approximately 88.24 mg.

Explanation:

To calculate the child dosage using Young's Rule, we need the age of the child (a) and the adult dosage (d) in mg.

Let's assume the age of the child (a) is 5 years.

According to the problem statement, the adult dosage (d) is 10 times the age in mg. Since I don't have access to your age, let's assume the age of another adult is 30 years.

Therefore, the adult dosage (d) would be:

d = 10 * 30 = 300 mg

Now, we can calculate the child dosage (c) using Young's Rule:

c = (a * d) / (a + 12)

c = (5 * 300) / (5 + 12)

c = 1500 / 17

c ≈ 88.24 mg

So, the child dosage (c) using Young's Rule for a child aged 5 years, with an adult dosage of 300 mg, is approximately 88.24 mg.