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?

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Alisa Joyce

1 April, 01:52

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?

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Moises Lyons · 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