The Rational Function $M ( t ) = \frac { 0.5 t + 150 } { 0.04 t ^ { 2 } + 3 }$

Multiple Choice

The rational function $M ( t ) = \frac { 0.5 t + 150 } { 0.04 t ^ { 2 } + 3 }$ models the number of milligrams of medication in the bloodstream of a patient t hours after 150 milligrams of the medication have been injected into the patient's bloodstream. What will M approach as $t \rightarrow \infty$ ?

A) 13 mg
B) 6 mg
C) 50 mg
D) 0 mg
E) 9 mg