SOLUTION: Please help me solve this question. Thank you The number of rabbits in a certain area is increasing exponentially. If the number of rabbits increases from 200 to 300 in 8 months

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Question 816100: Please help me solve this question. Thank you
The number of rabbits in a certain area is increasing exponentially. If the number of rabbits increases from 200 to 300 in 8 months, find the number of rabbits after 2 years(from the initial 200).
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The 1%261%2F2 increase time is 8 months.
p=200%2Ae%5E%28kt%29, the basic model before we find k; t is in MONTHS.
3=2%2Ae%5E%28k%2A8%29
3%2F2=e%5E%28k%2A8%29
ln%283%2F2%29=ln%28e%5E%288k%29%29
8k%2Aln%28e%29=ln%283%2F2%29
8k=ln%283%2F2%29
k=%281%2F8%29ln%283%2F2%29=highlight_green%28k=0.0507%29

The model using the available data points is highlight%28p=200%2Ae%5E%280.0507%2At%29%29, where t is again still in months. Let highlight%28t=24%29 to use a value of time meaning 2 years, according to the question.