SOLUTION: A squirrel population was introduced in a certain county of Britain 30 years ago. Biologists observe that the population doubles every 6 years, and now the population is 100,000.

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Question 959888: A squirrel population was introduced in a certain county of Britain 30 years ago. Biologists observe that the population doubles every 6 years, and now the population is 100,000.
a) What was the initial size of the squirrel population
b) Estimate the squirrel population 10 years from now
c) Sketch a graph of the squirrel population

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
y=p%2Ae%5E%28kt%29 growth model.

ln%28y%29=ln%28p%29%2Bkt

kt=ln%28y%2Fp%29

k=%281%2Ft%29ln%28y%2Fp%29
k=ln%282%29%2F6------compute this k value.


Question (a):
Using the growth model equation,
y%2F%28e%5E%28kt%29%29=p;
Let t=30, y=100000, and let k=whateveryoucomputed