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,...
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?
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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.