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 non-threatening 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 button-pushing

## Answer This Question

## Related Questions

- Pre Calculus - The logistic growth function P(t)= 160/ 1 + 9e^-0.165t describes ...
- Math - In a favorable habitat and without natural predators, a population of ...
- Science - Jessica and David spotted birds at the neighborhood park where they ...
- biology - 1.can introduced species strengthen the immune system of the native ...
- Pre-Calculus - A population of 20 rabbits is introduced to a small island. The ...
- Biology - What are 2 reasons for a species to become threatened or endangered? ...
- Math - The population of a certain species of bird is limited by the type of ...
- diffeq - Let P(t) represent the population of a non-native species introduced to...
- evolutionary machanism - BIOLOGY - A flock of migrating birds is blown off ...
- Pre algebra - * There are 1,000 of an endangered species of bird left. If the ...

More Related Questions