Solve the Problem $$C ( t ) = \frac { t } { ( 0.542 t + 1.844 ) ^ { 2 } }$$

question 26

Multiple Choice

Solve the problem.
-The concentration C (arbitrary units) of a certain drug in a patient's bloodstream can be modeled using where t is the number of hours since a 500 milligram oral dose was administered. Using $$C ( t ) = \frac { t } { ( 0.542 t + 1.844 ) ^ { 2 } }$$ the TABLE feature of a graphing utility, find the time at which the concentration of the drug is greatest. Round
To the nearest tenth of an hour.

• A) 4.9 hours
• B) 4.2 hours
• C) 5.7 hours
• D) 3.4 hours

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