Question

During normal breathing, about 12% of the air in the lungs isreplaced after one breath. Write an exponential decay model for theamount of the original air left in the lungs if the initial amount of airin the lungs is 500 mL. How much of the original air is present after24 breaths?of

Answer 1

Okay, here we have this:

According with the provided info we obtain the following:

$\begin{gathered} y(t)=500(1-0.12)^t \\ y(t)=500(0.88)^t \end{gathered}$

Where "t" represents the number of breaths.

Now, let's calculate how much of the original air is present after

24 breaths, so we are going to replace t with 24:

$y(t)=500(0.88)^{24}$