45 Friends rule is a method for calculating pediatric drug d

45. Friend\'s rule is a method for calculating pediatric drug dosages in terms of achild\'s age (up to 12 years). If Aisthe adult dose in milligrams) and m is the age of the child (in years, then the child\'sdose is given by Dn) n A a. What is the domain for the function defined by (n, D)? b. Graph this function for continuous 0 s n s 12.5 and A 100 c. If a 3-year-old child receives 100 mg of a certain drug, what is the corresponding dose for a 5-year- old child?

Solution

Solution: - Given D(n) = (2/25) nA

D(n) = (2/25) X 3X100 =24

D(n) =(2/25) X 5 X100 =40 mg

corresponding dose for 5 years old child = (100/24)X40 = 166.67 mg