Solve the Problem $\mathrm { P }$ , in Thousands, of Jonesburg Is Given By

question 258

Multiple Choice

Solve the problem.
-The population $\mathrm { P }$ , in thousands, of Jonesburg is given by
$$P ( t ) = \frac { 500 t } { 2 t ^ { 2 } + 8 }$$
where $t$ is the time, in months.
Graph the function on the interval $[ 0 , \infty )$ and complete the following: $\mathrm { P } ( \mathrm { t } ) \rightarrow \quad$ as $\mathrm { t } \rightarrow \infty$

• A) \(\mathrm { P } ( \mathrm { t } ) \rightarrow 50\) as \(t \rightarrow \infty\).
• B) \(\mathrm { P } ( \mathrm { t } ) \rightarrow 1\) as \(t \rightarrow \infty .\)
• C) \(\mathrm { P } ( \mathrm { t } ) \rightarrow 0\) as \(\mathrm { t } \rightarrow \infty \)
• D) \(P ( t ) \rightarrow 45\) as \(t \rightarrow \infty\).

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