Applications of Exponential & Log Function Derivatives

5. Exhaust fans are ventilating a room such that the number of cubic feet of CO_{2} in the room after t minutes is n = 3(e^{-0.05t} + 1). What is the rate of change of n?

We are looking for dn/dt.

dn/dt = 3(-0.05e^{-0.05t}) = -0.15e^{-0.05t}