Cowling’s rule is another function for determining the child’s dosage of a drug. For this rule, the formula     d= D(a+1)/24 a) If a doctor prescribes 75 milligrams of Tamiflu for an adult, then how many milligrams would she prescribe for an eleven-year-old child using Cowling’s rule?   b) If a doctor uses Cowling’s rule to prescribe 600mg of a drug to a child when she would prescribe 1000mg to an adult, then how old is the child?

Expert Answers

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Cowling's rule

`d=(D(a+1))/24`

where `d` = child's dosage

`D` = adult's dosage

`a` = age of child in years

a) `d=(D(a+1))/24`

`d=(75(11+1))/24`

`d=(75(12))/24`

`d=900/24`

d=37.5 mg

 

b)  `d= (D(a+1))/24`

`600 = (1000 (a+1))/24`

`600= (1000(a) +1000)/24`

 

`` `600/1=(1000(a)+1000)/24`

cross multiply

`600(24)=1(1000(a)+1000)`

`14,400=1000a +1000`

subtract 1000 from both sides

`13,400 =1000a`

`` divide each side by 1000

`13.4 = a`

``The child is 13.4 years old. 

 

 

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