The dosage for Carboplatin Chemotherapy drugs depends on several parameters of the drug as well as the age, weight, and sex of the patient. For a male patient, the formulas giving the dosage for a certain drug are:
D = A(c + 25)
and
c =
![](data:image/png;base64, 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)
,
where A and x depend on which drug is used, D is the dosage in milligrams (mg), c is called the creatine clearance, y is the patient's age in years, and w is the patient's weight in kg. For a 50 year old man, find an expression for
![](data:image/png;base64, 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)
in terms of A and x.
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![](data:image/png;base64, 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)
=
![](data:image/png;base64, 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)
+ 25A
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![](data:image/png;base64, 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)
=
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