Problema Solution
In 1965, a wildlife resource management team introduced a certain rabbit species into a forest for the first time. In 2002 the rabbit population had grown to 7676. The relative growth rate for this rabbit species is 19%. Use the exponential growth model P(t)=P0e^kt to answer the following.
a) How many rabbits did the wildlife resource management team introduce into the forest in 1965?
b) How many rabbits can be expected in the year 2030?
Answer provided by our tutors
P(t)=P0e^kt
a) t = 2002 - 1965
t = 37 years
k = 0.19
P(37) = 7676
P0e^(0.19*37) = 7676
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click here to see the step by step calculation for P0
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P0 = 7 rabbits approximately
The wildlife resource management team introduced 7 rabbits into the forest in 1965.
b) t = 2030 - 1965
t = 65 years
P(65)= 7e^(0.19*60)
P(65) = 625,252 rabbits
625,252 rabbits can be expected in the year 2030.