Question 822911
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) = {{{300/200}}}
e^(8k) = 1.5
8k = ln(1.5)
8k = .405465
k = {{{.405465/8}}}
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
{{{ graph( 300, 200, -10, 50, -100, 1500, 200*e^(.05068x), 675) }}} 
Green = 675