A model for decay of a quantity for which the rate of decay
is directly proportional to
the amount present. The equation for
the model is A = A0bt (where
b < 1 )
or A = A0ekt (where k is
a negative number representing the rate of decay). In both formulas
the original amount present at time t = 0.
This model is
used for phenomena such as radioactivity or depreciation. For
example, A = 50e–0.01t is
a model for exponential decay of 50 grams of a radioactive
decays at a rate of 1% per year.
Exponential growth, half-life, continuously
compounded interest, logistic growth, e