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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c for a child of age a, pharmacists use the equation c = 0.0417D(a + 1). Suppose the dosage for an adult is 200 mg.

(a) Find the slope of the graph of c. What does it represent?

(b) What is the dosage for a newborn?

(a)

To determine

To find: The slope of the graph c and interpret it.

Explanation

Rewrite the given equation as c=0.0417aD+0.0417 (1)

In the equation, c=0.0417aD+0.0417 , the slope is 0.0417D and the c-intercept is 0.0.417.

Given that the dosage of the adult (D) is 200 mg.

Substitute D=200 in the equation (1) and obtain the appropriate dosage of a child as follows.

c=0.0417a(200)+0

(b)

To determine

To find: The dosage for a newborn.

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