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Mathematics
Mathematics
Problem
Let
P
(
t
)
P(t)
P
(
t
)
be a population that satisfies
d
P
d
t
=
0.6
P
\dfrac{dP}{dt}=0.6P
d
t
d
P
=
0.6
P
for
0
≤
t
≤
15
0\le t\le15
0
≤
t
≤
15
minutes with
P
(
0
)
=
100
P(0)=100
P
(
0
)
=
100
. Which of the following expresses
P
P
P
as a function of
t
t
t
on this interval? a)
P
(
t
)
=
e
0.6
t
P(t)=e^{0.6t}
P
(
t
)
=
e
0.6
t
b)
P
(
t
)
=
100
e
0.6
t
P(t)=100e^{0.6t}
P
(
t
)
=
100
e
0.6
t
c)
P
(
t
)
=
100
(
0.6
)
t
P(t)=100(0.6)^{t}
P
(
t
)
=
100
(
0.6
)
t
d)
P
(
t
)
=
100
e
−
0.6
t
P(t)=100e^{-0.6t}
P
(
t
)
=
100
e
−
0.6
t
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