SOLUTION: The concentration C = C(t) of chlorine in the tank t hours after flushing begins is given by C=0.1+2.78e to the -0.37t mpg. -what is the initial concentration of chlorine in the t

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The concentration C = C(t) of chlorine in the tank t hours after flushing begins is given by C=0.1+2.78e to the -0.37t mpg. -what is the initial concentration of chlorine in the t      Log On


   



Question 42664This question is from textbook functions and change
: The concentration C = C(t) of chlorine in the tank t hours after flushing begins is given by C=0.1+2.78e to the -0.37t mpg.
-what is the initial concentration of chlorine in the tank?
-express the concentration of chlorine in the tank after 3 hours.
ps - i need to know how to work the problem specifically.
Thanks
This question is from textbook functions and change

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Okay, the function we are working with is
C(t) = 0.1 + 2.78e^(-0.37t)
The initial concentration is when t = 0, so
C(0) = 0.1 + 2.78e^0 = 2.88
After three hours, t = 3, so we have
C(3) = 0.1 + 2.78e^(-0.37*3) and we use our calculator to get
C(3) = .916 mpg