I recall having learned an equation involving exponential growth/decay that had something like y=initial amount x e^(2t) or something like that. Do you guys know the exact equation adn perhaps a sample problem to work with? I am prepping for a state math exam.
Exponential growth is of the form. Yes,
, the initial size. What
is depends upon the rate of growth. In one time unit (hour, day, year, depending on the units for t), y will have grown from
to
for a rate of
. In fact, between year "n" and year "n+1", y will have grown from
to
again giving a rate of growth of
.
Note that, since, that can also be written as
where
is that rate of growth.
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