SOLUTION: Two formulas that approximate the dosage of a drug prescribed for children are: Young's Rule: C=DA/A+12 Cowling's Rule: C=D(A+1)/24 A= Child's age in years D= Adult dosage C=

Algebra ->  Probability-and-statistics -> SOLUTION: Two formulas that approximate the dosage of a drug prescribed for children are: Young's Rule: C=DA/A+12 Cowling's Rule: C=D(A+1)/24 A= Child's age in years D= Adult dosage C=       Log On


   

Question 833317: Two formulas that approximate the dosage of a drug prescribed for children are:
Young's Rule: C=DA/A+12
Cowling's Rule: C=D(A+1)/24
A= Child's age in years
D= Adult dosage
C= Proper child dosage
For a 6 year old child, what is the difference in the dosage for the two given formulas. Express your answer as a single rational expression in terms of D. What does this answer mean in terms of variables.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two formulas that approximate the dosage of a drug prescribed for children are:
Young's Rule: C=DA/A+12
Cowling's Rule: C=D(A+1)/24
A= Child's age in years
D= Adult dosage
C= Proper child dosage
For a 6 year old child, what is the difference in the dosage for the two given formulas. Express your answer as a single rational expression in terms of D. What does this answer mean in terms of variables.
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Young: (D*6)/(6+12) = (6D)/18 = D/3
Cowling: D(6+1)/24 = (7/24)D
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Dosage difference: D/3 - (7D/24) = (8D/24)-(7D/24) = D/24
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The difference for a 6 yr. old child is (1/24)th of the adult dosage.
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Cheers,
Stan H.
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