Forthis exercise, Cowlings Rule is used to assist in determining an 11year old child sized dose of 400mg ibuprofen. The formula is a modelas conceptualized by (Dugopolski, 2012) that accurately converts anadult dose in to an adult dose with the child’s age the independentvariable. Literal equations essentially have a single variable butCowling’shas three: a, d and aduly dose (D),
D= “adult dose”
Theliteral equation is as follows:
Thetask is to calculate an 11 year child’s dose of ibuprofen assumingthat the adult’s dose is 400mg.
RecallingCowlings formula = d=
Wesubstitute known values in the formula. The new literal equationbecomesd=
Calculatingfor the unknown, multiply both sides 24 to reduce the dominator in toa base unit of 1
Theconditional equation as we only have one unknown to make the equationtrue as conceptualized by (Dugopolski,2012).
Simplifyingthe above equation we get
Thedose of the 11 year old is 200mg
Thesecond exercise sought to determine a child age given that adultsdose is 1200mg whereas the child’s dose is 400mg child. This taskshall utilize Cowlings Rule whose literal equation is as follows:
Theliteral equation has three variables where:
D= “adult dose”
Knownvalues are substituted in the formula as follows
Multiplythe right hand side and the left hand side with 24 to eliminate thedenominator
Theleft hand side gives 28800
Sincewe have a single element to make the equation true, the conditionalequation becomes since
9600= 1200 (a+1)
Divideboth sides by 1200 to get
Grouplike terms together by subtracting one from both sides
Thechild’s age is therefore 7 years of age.
Dugopolski,M. (2012). Elementary and intermediate algebra (4th ed.). New York,NY: McGraw-Hill Publishing.