Discrete Mathematics
posted by Joy on .
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?

Year 120133^0*500 = 500 Rabbits
Year 220143^1*500 = 1500
Year 320153^2*500 = 4500
Year n20xx3^(n1)*500 = 100,000
3^(n1)*500 = 100000
3^(n1) = 200
(n1)*Log 3 = Log 200
n1 = Log 200/Log 3 = 4.82
n = 5.82 or 6 Yrs.