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Mathematics
Problem
The growth rate of a bacterial culture is modeled by
r
(
t
)
=
5
e
0.2
t
r(t)=5e^{0.2t}
r
(
t
)
=
5
e
0.2
t
cells per hour for
0
≤
t
≤
4
0\le t\le 4
0
≤
t
≤
4
. What is the average growth rate of the culture, in cells per hour, during this period? a)
25
(
e
0.8
−
1
)
25\left(e^{0.8}-1\right)
25
(
e
0.8
−
1
)
b)
5
e
0.4
5e^{0.4}
5
e
0.4
c)
6.25
(
e
0.8
−
1
)
6.25\left(e^{0.8}-1\right)
6.25
(
e
0.8
−
1
)
d)
5
e
0.8
5e^{0.8}
5
e
0.8
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