Several different formulas have been proposed for determining the appropriate dose of a drug for a child in terms of the adult dosage. Suppose that A milligrams (mg) is the adult dose of a certain drug and C is the appropriate dosage for a child of age N years. Then Cowling’s rule says that

while Friend’s rule says that

Exercises 46 through 48 require these formulas.

For what child’s age is the dosage suggested by Cowling’s rule the same as that predicted by Friend’s rule? For what ages does Cowling’s rule suggest a larger dosage than Friend’s rule? For what ages does Friend’s rule suggest the larger dosage?

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1 - (N₂+¹) ₁ A 24 C =