SOLUTION: 30 million rabbits, the bunny farm is getting overcrowded and some of the rabbits are dying from a contagious disease. The rabbits have stopped reproducing, and the disease is redu

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 30 million rabbits, the bunny farm is getting overcrowded and some of the rabbits are dying from a contagious disease. The rabbits have stopped reproducing, and the disease is redu      Log On


   

Question 1108393: 30 million rabbits, the bunny farm is getting overcrowded and some of the rabbits are dying from a contagious disease. The rabbits have stopped reproducing, and the disease is reducing the total rabbit population at a rate of about 30% each month. If this continues, then in how many months will the population drop below 100 rabbits?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The number of remaining rabbits, +P+, after
+t+ months is:
+P+=+30%2A10%5E6%2A%28+1++-+.3+%29%5Et+
+30%2A10%5E6%2A.7%5Et+%3C+100+
+.7%5Et+%3C+10%5E2+%2F+%28+3%2A10%5E7+%29+
+.7%5Et+%3C+10%5E%28-5%29%2A%281%2F3%29+
Take the log base 10 of both sides
+t%2Alog%28+.7+%29+%3C+-5+%2B+log%28+1%2F3+%29+
+t+%3C+%28%28+-5+%2B+log%28+1%2F3+%29+%29%29+%2F+log%28+.7+%29+
You can finish with calculator
Definitely feel free to get a 2nd opinion on this