College Algebra, Chapter 4, 4.6, Section 4.6, Problem 84

The equation $\displaystyle C(t) = \frac{30t}{t^2 + 2}$ represents the concentration of a certain drug in the blood stream. At time $t \geq 0$ (in minutes since the injection) where the concentration is measured in mg/L.

a.) Draw the graph of the drug concentration.

b.) What eventually happens to the concentration of drug in the bloodstream.







It shows from the graph that after injecting the drug in the bloodstream, it will only take at approximately $1.50$ minutes for the drug to start taking effect and eventually decrease until the concentration has been consumed.