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

question 402

Multiple Choice

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 \(\mathrm { t } \rightarrow \infty\),

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Definitions:

Annual Dividend

The complete sum of dividends a shareholder gets from a corporation over the course of a single fiscal year.

Dividend Increase

An action by a company to increase the amount of money paid out to shareholders per share, typically signaling financial health.

Market Rate

The current market rate for interest on investments or loans available in the marketplace.

Annual Dividend

The annual dividend income a shareholder is awarded from a company.