Question

Conservationists tagged 90 black-nosed rabbits in a national forest in 1990. in 1993, they tagged 180 blacked-nosed rabbits in the same range. if the rabbit population follows the exponential law, how many rabbits will be in the range 5 years from 1990?

Answer 1

Q(t) = Q(0)e^(k)

Q(3) = Q(0)e^(k3)

180 = 90*e^(3k)

2 = e^(3k) (obtain the natural log on both sides)

ln(2) = 3k
k = 0.23104906

So, we can conclude that
Q(5) = 90e^(0.23104906*5) = 285.73

The answer is +/- 285