Question
The population of rabbits in a particular habitat triples every year. If there are 500 rabbits in 2013, when will there be over 100,000 rabbits?
Answers
Henry
Year 1--2013--3^0*500 = 500 Rabbits
Year 2--2014--3^1*500 = 1500
Year 3--2015--3^2*500 = 4500
Year n--20xx--3^(n-1)*500 = 100,000
3^(n-1)*500 = 100000
3^(n-1) = 200
(n-1)*Log 3 = Log 200
n-1 = Log 200/Log 3 = 4.82
n = 5.82 or 6 Yrs.
Year 2--2014--3^1*500 = 1500
Year 3--2015--3^2*500 = 4500
Year n--20xx--3^(n-1)*500 = 100,000
3^(n-1)*500 = 100000
3^(n-1) = 200
(n-1)*Log 3 = Log 200
n-1 = Log 200/Log 3 = 4.82
n = 5.82 or 6 Yrs.