To find: The slope of the graph c and interpret it.
The slope of the function c is 8.34 mg, which represents the rate of change of dosage.
Rewrite the given equation as (1)
In the equation, , 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 in the equation (1) and obtain the appropriate dosage of a child as follows.
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.
To find: The dosage for a newborn.
The dosage for a newborn is 8.34 mg.
Since age (a) of a newborn child is 0, substitute in equation (2) and obtain the dosage as follows.
Therefore, for a newborn child the advisable appropriate dosage is 8.34 mg.
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