Problema Solution
In 1975, Wild life resource managemnt team introduced a certain rabbit species into a forest for the first time. In 2004 the population grew to 7000. The relative growth rate for this species is 20%.
a) how many rabbits did wildlife resource managment introduce into the forest at 1975?
b)the population in 2027 is expected to be?
Answer provided by our tutors
We will use the formula:
N = A * e^(r*t)
N = the population
t = the time in years
A = the population when t = 0
r = the growth rate as a decimal
In our case we have:
A = we need to find (the rabbits that the wildlife resource management introduce into the forest at 1975)
t = 2004 - 1975 = 29 years
r = 0.20 or 20%
N = 7000 rabbits
7000 = A*e^(0.20*29)
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A = 21 rabbits
a) The wildlife resource management introduce 21 rabbits into the forest at 1975.
b) t = 2027 - 1975 = 52 years
N = 21 * e^(0.20*52)
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N = 690,052 rabbits
The population in 2027 is expected to be 690,052 rabbits.