To find the slope of the equation, we need to determine the coefficient of the term "a" in the equation c = 0.0417(a+1).
The coefficient of "a" in the equation is 0.0417. Thus, the slope is 0.0417.
The slope represents the rate at which the dosage for a child changes with respect to their age. In this case, the slope of 0.0417 indicates that for every year increase in age, the dosage for a child increases by 0.0417 mg.
To find the dosage for a newborn, we need to substitute the age (a) as 0 into the equation c = 0.0417(a+1):
c = 0.0417(0+1)
c = 0.0417(1)
c = 0.0417 mg
Therefore, the dosage for a newborn is 0.0417 mg.