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# Application of Young's Rule

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Part 1: An application of a rational function is Young's rule, which approximates the dosage of a drug prescribed for children.

a) Using the Library, web resources, and/or other materials, find the equation for Young's rule. State what each variable in the equation represents.

Do not type the equation using the Equation Editor because the symbols will not appear when copied and pasted. Instead, type with parentheses around both the numerator and denominator and use the (/) for the fraction bar.

b) Give an example using Young's rule. State the child's age, the adult dosage, and show how you obtain the approximate child's dosage using this information.

Part 2:

Part 2: An application of a rational function is T = (AB)/(A+B), which gives the time, T, it takes for two workers to complete a particular task where A & B represent the time it would take for each individual worker to complete the identical task.

Estimate how long it takes you to complete a task of your choice (house cleaning, mowing, etc.) in a given week. Suppose that Joe is slower than you at the given task and takes twice as long as you do. If you work together, how long would it take you to complete the task?

Include the type of job, the time it takes you and Joe individually to complete the job, and the calculations needed to show how long it would take to complete the job if you worked together. Include units with your answer.

##### Solution Summary

This shows an application of Young's rule, and also shows how to solve a shared-work problem.

##### Solution Preview

1a) Young's rule: C=((a)/(a+12))*D
C=child's dose
a=child's age
1b) Assume that the adult dose ...

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