SOLUTION: A rabbit population doubles every eighteen months. Currently, there are 10 rabbits in my back yard. How many rabbits will there be in 9 years? Let p = population Let n = #

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A rabbit population doubles every eighteen months. Currently, there are 10 rabbits in my back yard. How many rabbits will there be in 9 years? Let p = population Let n = #       Log On


   

Question 932413: A rabbit population doubles every eighteen months. Currently, there are 10 rabbits in my back yard. How many rabbits will there be in 9 years?
Let p = population
Let n = # of doubling periods
Answer is p = 10 x 2^n
What is the exponential equation if we sold 10 rabbits every 18 months, how long will it take to get 100 rabbits?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Almost done with the equation formulation. One doubling period is 18%2F12=3%2F2 years.

n%2Aperiods%2A%281%261%2F2%29%2A%28years%2Fperiod%29=t%2Ayears, introducing the new variable, t years. This means, n%281%261%2F2%29=t, and then solving for n, n=%282t%2F3%29.

Now you can use the equation model, highlight%28p=10%2A2%5E%282t%2F3%29%29.


This model with the use of t years is NOT the only way to handle any specific question. You could also convert the 9 years requested into how many doubling periods and use your original model.
9%2Ayears%2A%281%2F%283%2F2%29%29%2A%28periods%2Fyears%29=9%2A3%2F2=27%2F2=13%261%2F2, doubling periods.