Answer to Question #105036 in Algebra for Bayrkhuu

Question #105036
8.If the adult drug dose is D (mg), pharmacists use the formula c = 0.0417D (a + 1) to determine the appropriate dose c for an older child. Suppose an adult dose is 200 mg.
Find the slope of the graph of (a) c. What does this mean?
(b) What is the dosage for the newborn baby?
1
Expert's answer
2020-03-10T10:14:21-0400

(a) Let aa be an age of an child in years. Then


c=0.0417Da+0.0417D, D=constc=0.0417D\cdot a+0.0417D,\ D=const

Given that D=200 mg.D=200\ mg. Then the slope of the graph is


slope=0.0417(200)=8.34(mg/year)slope=0.0417(200)=8.34 (mg/year)

The slope shows that the appropriate dose c for an older child increases by 8.348.34 mg if the child is one year older.


(b) Newborn baby: a=0a=0


c(0)=0+0.0417(200)=8.34(mg)c(0)=0+0.0417(200)=8.34(mg)

The dose for newborn baby is 8.34mg.8.34 mg.



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