Question

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 $$ C=\frac{D A}{A+12} $$ Suppose that an 8-year-old child needs medication, and the normal adult dose is $1000 \mathrm{mg}$. What size dose should the child receive?

Name: Problem 83, Chapter 7: Algebra A Combined Function
Uploaded: 2020-03-08T22:51:29-08:00
Duration: 55 s
Channel: Heather Zimmers
Description: 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 an 8-year-old child needs medication, and the normal adult dose is 1000 mg. What size dose should the child receive?

   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
$$
C=\frac{D A}{A+12}
$$
Suppose that an 8-year-old child needs medication, and the normal adult dose is $1000 \mathrm{mg}$. What size dose should the child receive?

Algebra A Combined Function

Elayn Martin-Gay 4th Edition

Chapter 7, Problem 83

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Solved by Expert Heather Zimmers

03/08/2020

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We are given the child's age A = 8 years and the adult dose D = 1000 mg. Show more…

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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 $$ C=\frac{D A}{A+12} $$ Suppose that an 8-year-old child needs medication, and the normal adult dose is $1000 \mathrm{mg}$. What size dose should the child receive?

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Key Concepts

Young's Rule

Young's Rule is a method for determining a child's medication dosage based on their age by adjusting the adult dose. It provides a simple formula to ensure that the dosage is appropriate and safe for pediatric patients by reducing the adult dose proportionately according to the child’s age.

Algebraic Substitution in Formula-Based Dosage Calculations

This concept involves substituting the known values, such as the child's age and the adult dose, into a given formula to calculate the required dosage for the child. It is a fundamental aspect of mathematical applications in medicine, ensuring precise and individualized treatment through proper adjustment of standard dosages.

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