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Mathematics
Mathematics
Problem
A bacteria culture grows according to
P
(
t
)
=
200
e
0.03
t
P(t)=200e^{0.03t}
P
(
t
)
=
200
e
0.03
t
, where
P
P
P
is the number of bacteria and
t
t
t
is measured in hours. Determine the average rate of change of the population over
0
≤
t
≤
10
0\le t\le10
0
≤
t
≤
10
. Give your answer to the nearest whole bacterium per hour.
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