IMathAS-libretexts

The function $\displaystyle {C}{\left({t}\right)}=\frac{{{0.4}{t}+{900}}}{{{5}{t}+{5}}}$ for $\displaystyle {t}\ge{10}$ gives the body concentration $\displaystyle {C}{\left({t}\right)}$ , in parts per million, of a certain dosage of medication after time, $\displaystyle {t}$ , in hours.

a) What value does the concentration approach as the time elapses infinitely?

b) What does this mean in regards to the body concentration of the drug?

The concentration decreases to 0.
The concentration never decreases to 0.
The concentration increases over time.
The concentration begins at 180 parts per million.

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