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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 1.2, Problem 11E

(a)

To determine

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

Expert Solution

The slope of the function *c* is 8.34 mg, which represents the rate of change of dosage.

Rewrite the given equation as

In the equation,
*D* and the *c*-intercept is 0.0.417.

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

Substitute

Thus,

Therefore, the slope is 8.341, which represents the average rate of change of the dosage in mg. The dosage is calculated for a one year old child.

The graph of *c* is shown below in Figure 1.

From Figure 1, it is observed that the graph of *c* is a straight line as the function is linear.

(b)

To determine

**To find:** The dosage for a newborn.

Expert Solution

The dosage for a newborn is 8.34 mg.

Since age (*a*) of a newborn child is 0, substitute

Therefore, for a newborn child the advisable appropriate dosage is 8.34 mg.