SOLUTION: Initial bird population of 1945; there are 11,000 birds after 25 years; the population doubles every 10 years; how many birds do you have after 28 years?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Initial bird population of 1945; there are 11,000 birds after 25 years; the population doubles every 10 years; how many birds do you have after 28 years?      Log On


   

Question 602356: Initial bird population of 1945; there are 11,000 birds after 25 years; the population doubles every 10 years; how many birds do you have after 28 years?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p%5B0%5D+ = initial population
Let +p%5Bn%5D+ = current population
Let +n+ = number of years since 1945
given:
+p+=+p%5B0%5D%2A2%5E%28%28n%2F10%29%29+
------------------
In 25 years,
+p%5B25%5D+=+11000+
+11000+=+p%5B0%5D%2A2%5E%28%2825%2F10%29%29+
+p%5B0%5D+=+11000+%2F+%28+2%5E2.5+%29+
------------------------
After 28 years,
+p%5B28%5D+=+%28+11000%2F+%282%5E2.5%29+%29%2A%282%5E%282.8%29%29+
+p%5B28%5D+=+11000%2A2%5E%28%28+2.8+-+2.5+%29%29+
+p%5B28%5D+=+11000%2A2%5E.3+
You can use calculator to find this