Cowling’s rule. Cowling’s rule is another function for determining the child’s dosage of a drug. For this rule, the formula

d = D(a+1)

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(expresses the child’s dosage d as a function of the adult dosage D and the child’s age a.)

a) If a doctor prescribes 1000 milligrams of acetaminophen for an adult, then how many milligrams would she prescribe for a six-year-old child using Cowling’s rule?

b) If a doctor uses Cowling’s rule to prescribe 200 milligrams of a drug to a child when she would prescribe 600 milligrams to an adult, then how old is the child?

Explain what the variables in the formula represent and show all steps in the computations.

Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):

Literal equation
Formula
Solve
Substitute
Conditional equation