Question

At the beginning of a study, a certain culture of bacteria has a population of
730
. The population grows according to a continuous exponential growth model. After
5
days, there are
949
bacteria. At the beginning of a study, a certain culture of bacteria has a population of
730
. The population grows according to a continuous exponential growth model. After
5
days, there are
949
bacteria.

(a)Let
t
be the time (in days) since the beginning of the study, and let
y
be the number of bacteria at time
t
.
Write a formula relating
y
to
t
.
Use exact expres

Answer 1

One form of the "continuous growth model" is \[A=A _{0}e ^{rt}\]

Answer 2

Take the given info and plug it into this formula. To get you started: A_0 equals 730. You need to find the exponential growth constant, r.