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Answer :
Final answer:
The slope represents the increase in dosage for each one-year increase in the child's age and the dosage for a newborn is 0.0417D mg.
Explanation:
The slope of the equation c = 0.0417D(a + 1) can be found by differentiating the equation with respect to a. When differentiating, the variable D is treated as a constant. The derivative of c with respect to a is 0.0417D. Therefore, the slope is 0.0417D.
The slope represents the increase in dosage for each one-year increase in the child's age. For every one-year increase in the child's age, the dosage is increased by 0.0417D mg.
To find the dosage for a newborn, substitute a = 0 into the equation c = 0.0417D(a + 1). Plugging in a = 0 gives c = 0.0417D(0 + 1) = 0.0417D. Therefore, the dosage for a newborn is 0.0417D mg.
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