5) The population P, in thousands, of Jonesburg is given by
$$P(t) = \frac{400t}{2t^2 + 7}$$
where t is the time, in months.
Graph the function on the interval $[0, \infty)$ and complete the following:
$P(t) \to \_\_\_\_$ as $t \to \infty$.
A) $P(t) \to -50$ as $t \to \infty$.
B) $P(t) \to 45$ as $t \to \infty$.
C) $P(t) \to 1$ as $t \to \infty$.
D) $P(t) \to 0$ as $t \to \infty$.