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Mathematics
Mathematics
Problem
The size
P
(
t
)
P(t)
P
(
t
)
of a population (in hundreds) is modeled by
P
(
t
)
=
800
1
+
9
e
−
0.6
t
P(t)=\dfrac{800}{1+9e^{-0.6t}}
P
(
t
)
=
1
+
9
e
−
0.6
t
800
, where
t
t
t
is measured in months. Calculate the time
t
t
t
(to the nearest tenth of a month) at which the population reaches 400.
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