SOLUTION: the population of rabbits in a forest follows the law of exponential growth, if 62 rabbits are present initially and there are 122 after 3 years , how many will there be in 6 years

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Question 1057437: the population of rabbits in a forest follows the law of exponential growth, if 62 rabbits are present initially and there are 122 after 3 years , how many will there be in 6 years?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P=P%5B0%5De%5E%28kt%29
P=62e%5E%28kt%29
So in 3 years,
122=62e%5E%283k%29
e%5E%283k%29=122%2F62
e%5E%283k%29=61%2F31
3k=ln%2861%2F31%29
k=ln%2861%2F31%29%2F3
So then,
P%286%29=62e%5E%28%286%2F3%29%2Aln%2861%2F31%29%29
P%286%29=62e%5E%282%2Aln%2861%2F31%29%29
P%286%29=122e%5E%28ln%2861%2F31%29%29
P%286%29=%28122%2A61%29%2F31
P%286%29=7442%2F31
P%286%29=240%262%2F31
Since it must be an integer value,
P%286%29=240