Question

The concentration C(t) of a certain drug in the blood stream after t minutes is given by the formula C(t) =0.09(1-e^-0.2(t)). What is the concentration after 18 minutes? I don't understand the "e".... please help.

Answer 1

\[\large C(t)=0.09\left(1-e^{-0.2t}\right)\]
\(e\) is a mathematical constant, roughly equal to 2.718. If you have a graphing calculator, you should have a button designated for it.

To find the concentration after 18 minutes, you plug in \(t=18\):
\[\large C(18)=0.09\left(1-e^{-0.2\times18}\right)=\cdots\]

Answer 2

Thank You!!

Answer 3

yw