Chapter 4.2, Problem 20E

To determine

To find:The amount of drug that remains in the patient’s blood stream.

Explanation of Solution

Given: The number of milligrams of drugs remaining in the patient body is modelled by,

  $D\left(t\right)=50e^{-0.2t}$

The number of milligrams of drugs remaining in the patient body is modelled by,

  $D\left(t\right)=50e^{-0.2t}$

Substitute $3$ for $t$ in the above equation.

  $\begin{array}{c}D\left(3\right)=50e^{-0.2\left(3\right)}\\ =50e^{-0.6}\\ =27.4\text{milligrams}\end{array}$

Therefore, the amount of drugs remaining in the patient is $27.4\text{milligrams}$ .