Posted by MV on Tuesday, December 6, 2011 at 10:31pm.
The function f(t)=100,000/1+5000e^(t) represents the population of an endangered species bird t years after they were introduced to a nonthreatening habitat.
a.In what year will there be 70,000 birds?
b.How many birds were intially introduced to the habitat?
c.How many birds are expected in the habitat eleven years after the introduction?
I'm thinking y=y0e^(t)as the formula.
Looking for advice on set up of calculation, not necessarily answers to all.

Algebra2  Reiny, Wednesday, December 7, 2011 at 12:20am
a) So, 70000 = 10000/(1 + 5000e^(t)
1+5000e^t = 10/7
5000e^t = 10/7  1 = 3/7
e^t = 3/35000 = .000085714
ln both sides
t = ln .000085714
t = 9.36
t = 9.36 years
b) when t=0
f(0) = 100000(1+ e^0) = 100000/2 = 50000
c) plug in t=11, you do the buttonpushing
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