Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
A fish population grows according to the model
P
(
t
)
=
C
e
k
t
P(t)=Ce^{kt}
P
(
t
)
=
C
e
k
t
, where
t
t
t
is measured in months. If
P
(
0
)
=
500
P(0)=500
P
(
0
)
=
500
and
P
(
3
)
=
800
P(3)=800
P
(
3
)
=
800
, which value is closest to the growth rate
k
k
k
(per month)? a)
k
≈
0.470
k\approx 0.470
k
≈
0.470
b)
k
≈
0.157
k\approx 0.157
k
≈
0.157
c)
k
≈
−
0.157
k\approx -0.157
k
≈
−
0.157
d)
k
≈
0.200
k\approx 0.200
k
≈
0.200
Browse the problem library