# exponential growth help

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• July 15th 2007, 04:03 PM
davecs77
exponential growth help
Rabbit populations are considered to grow exponentially. A farmer buys 8 rabbits and finds that within 6 months he now has 24 rabbits. How many more months must the farmer wait until he has 216 rabbits?
• July 15th 2007, 04:16 PM
galactus
Find k. $24=8e^{-k(6)}$

Solve for k, then use it in $216=8e^{-kt}$ and solve for t.