Solve the Problem $C ( t )$ , in Milligrams After $t$

Multiple Choice

Solve the problem.
-A drug is injected into a patient and the concentration of the drug is monitored. The drug's concentration, $C ( t )$ , in milligrams after $t$ hours is modeled by
$$C ( t ) = \frac { 5 t } { 3 t ^ { 2 } + 1 } \text {. }$$
What is the horizontal asymptote for this function? Describe what this means in practical terms.

A) $\mathrm { y } = 0 ; 0$ is the final amount, in milligrams, of the drug that will be left in the patient's bloodstream.
B) $\mathrm { y } = 1.67 ; 1.67$ is the final amount, in milligrams, of the drug that will be left in the patient's bloodstream.
C) $\mathrm { y } = 1.25$ ; After $1.25$ hours, the concentration of the drug is at its greatest.
D) $\mathrm { y } = 1.67$ ; After $1.67$ hours, the concentration of the drug is at its greatest.