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Two formulas that approximate the dosage of a drug prescribed for children are shown below. In the formulas, Aequalsthe child's age, in years, Dequalsan adult dosage, and Cequalsthe proper child's dosage. The formulas apply for ages 2 through 13, inclusive. For a 3-year-old child, what is the difference in the dosage given by Cowling's rule and Young's rule? Express the answer as a single rational expression in terms of D. Then describe what your answer means in terms of the variables in the models. Young's Rule: Upper C equals StartFraction DA Over Upper A plus 12 EndFraction Cowling's Rule: Upper C equals StartFraction Upper D left parenthesis Upper A plus 1 right parenthesis Over 24 EndFraction
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