Solve the Problem $N ( t ) = \frac { 0.5 t + 1000 } { 6 t + 5 } , t \geq 8$

Solve the problem.
-The function $N ( t ) = \frac { 0.5 t + 1000 } { 6 t + 5 } , t \geq 8$
gives the body concentration $\mathrm { N } ( \mathrm { t } )$ , in parts per million, of a certain dosage of medication after time $t$ , in hours.
Graph the function on the interval $[ 8 , \infty )$ and complete the following:
$\mathrm { N } ( \mathrm { t } ) \rightarrow \quad$ as $\mathrm { t } \rightarrow \mathrm { x } _ { \text {. } }$

A)

$\mathrm { N } ( \mathrm { t } ) \rightarrow 0$ as $\mathrm { t } \rightarrow \infty$
B)

$\mathrm { N } ( \mathrm { t } ) \rightarrow 0.083$ as $\mathrm { t } \rightarrow \infty .$
C)

$\mathrm { N } ( \mathrm { t } ) \rightarrow 1$ as $\mathrm { t } \rightarrow\infty$
D)

$\mathrm { N } ( \mathrm { t } ) \rightarrow 0.071$ as $\mathrm { t } \rightarrow \infty$ ,