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Mathematics
Problem
Which differential equation best models the statement "The rate at which a bacteria population
P
P
P
(in cells) changes is directly proportional to the current population"? a)
d
P
d
t
=
k
\dfrac{dP}{dt}=k
d
t
d
P
=
k
b)
d
P
d
t
=
k
P
2
\dfrac{dP}{dt}=kP^{2}
d
t
d
P
=
k
P
2
c)
d
P
d
t
=
k
P
\dfrac{dP}{dt}=kP
d
t
d
P
=
k
P
d)
d
P
d
t
=
k
t
P
\dfrac{dP}{dt}=\dfrac{k}{t}P
d
t
d
P
=
t
k
P
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