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Cowling's Rule

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Submitted By paticoronderos
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Week 2 Discussion 2 Cowling's Rule is a formula designed for medicines and medical situations outside of the emergency medical setting; given the fact that completing a formula as such is timely and usually unnecessary. This formula converts an adult dose into a child’s dose using the child’s age. a = child’s age The formula is d = D(a + 1) D = adult dose 24 d = child’s dose Because my last name ends with an S, I'm first to solve for the proper child dosage for 500mg of amoxicillin being given to a 4 year old.

d = D(a + 1)
The Cowling’s Rule formula 24

d = 500(4 + 1)
I substituted 500 for D and 6 for a. 24

d = 500(5)
I added inside parentheses first. 24

d = 2500
Multiplication came next. 24

d = 104.1666667(continuous)
Division is the final piece to solving for the child’s dose. The dosage of amoxicillin called for by this algorithm specific to a 4-year-old child is 104mg. Second portion of this equation is to solve the conditional equation for a child's age while still using the same formula.
We'll be using different variables for the same literal equation. d = D(a + 1)
The Cowling’s Rule formula 24
100mg = 500(a + 1)
I substituted 500 for D and 100 for d. 24 100(24) = 500(a + 1)(24)
Both sides are multiplied by 24 to eliminate denominator. 24

2400 = 500(a + 1) Multiplication on left side is carried out. 2400 = 500(a + 1) Divide both sides by 500. 500 500

4.8 = a + 1

4.8 – 1 = a + 1 – 1 Subtract 1 from both sides.

3.8 = a Now we've solved for a. The dose of 100mg is meant for a 3.8 (or 4) year old child.

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