Chapter 1.1, Problem 10E

Reminder Round all answers to two decimal places unless otherwise indicated.

Note Some of the formulas below use the special number $e$, which was presented in the Prologue.

10.Flushing Chlorine City water, which is slightly chlorinated, is being used to flush a tank of heavily chlorinated water. The concentration $C=C\left(t\right)$ of chlorine in the tank $t$ hours after flushing begins is given by

$C=0.1+2.78e^{-0.37t}\text{milligrams}\text{per}\text{gallon}$

a. What is the initial concentration of chlorine in the tank?

b. Express the concentration of chlorine in the tank after 3 hours using functional notation, and then calculate its value.