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

---

Definitions:

Numbering System

A numbering system is a scheme for assigning numerical identifiers to elements in a set, used to organize and reference those elements systematically.

Bury

To place something in the ground or hide it, often as a means of concealment or to dispose of it.

Passive Verb

A verb form that indicates the subject of the sentence is the recipient of the action, rather than the performer.

Recommendation

An endorsement or suggestion about the best course of action, typically based on expertise or experience.