Exponential Growth and Decay
Exponential growth and decay problems follow the model given by the equation
-The model is a function of time t
-A(t) is the amount we have ater time t
-PIs the initial amount, because for t=0, notice how
-Tis the growth or decay rate. It is positive for growth and negative for decay
Growth and decay problems can deal with money (interest compounded continuously), bacteria growth, radioactive decay. population growth etc.
So A(t) can represent any of these depending on the problem.
The growth of a certain bactenia population can be modeled by the function
where A(t) is the number of bacteria and t represents the time in minutes.
How long will t take for the number of bacteria to double?
(your answer must be accurate to at least 3