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,

Question 822911: 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 ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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).
:
Exponential growth using e
Let k = the monthly growth constant
200*e^(8k) = 300
e^(8k) =
e^(8k) = 1.5
8k = ln(1.5)
8k = .405465
k =
k = .05068
"find the number of rabbits after 2 years(from the initial 200)."
using 24 months
200*e^(24*.05068) = 675 rabbits in 2 yrs
:
Looks like this

Green = 675

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