Question

If the recommended adult dosage for a drug is D (in Mg) then to determine the appropriate dosage c for child of age a pharmacists use the equation c=0.0417(a+1) suppose the dosage for an adult is 500mg
Find the slope
What does it represent
What is the dosage for a newborn

Answer 1

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.