SOLUTION: a bird species in danger of extinction has a population that is decreasing (A=A(base0)e^kt). five years ago the population was at 1400 and today only 1000 are still alive. once the
Algebra.Com
Question 150537: a bird species in danger of extinction has a population that is decreasing (A=A(base0)e^kt). five years ago the population was at 1400 and today only 1000 are still alive. once the population drops below 100, the situation is irreversible. When will this happen?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a bird species in danger of extinction has a population that is decreasing (A=A(base0)e^kt). five years ago the population was at 1400 and today only 1000 are still alive. once the population drops below 100, the situation is irreversible. When will this happen?
----------------------------
A(t) = A(o) e^(kt)
Find "k":
1000 = 1400 e^(k*5)
(5/7) = e^(5k)
Take the ln to get:
5k = ln (5/7)
5k = -0.3365
k = -0.06729
---------------
Equation: A(t) = A(o) e^(-0.06729t)
----------
When will the population be 100?
100 = 1000 e^(-0.06729t)
0.10 = e^(-0.06729t)
-0.06729t = ln(0.10)
t = 31.22 years from 5 yrs. ago
OR
26.22 years from NOW
=======================
Cheers,
Stan H.
RELATED QUESTIONS
Here is the problem I am working on:
A bird species in danger of extinction has a... (answered by jsmallt9)
A bird species in danger of extinction has a population that is decreasing exponentially (answered by josgarithmetic,jorel1380)
A bird species in danger of extinction has a population that is decreasing exponentially... (answered by josgarithmetic)
Hoe do I go by obtaining the equation using the format in parentheses?
A particular... (answered by josgarithmetic)
Hi, I am in need of desperate help. If someone could please show me the steps I would... (answered by Alan3354)
A species of bat is in danger of becoming extinct. Five years ago, the total population... (answered by solver91311)
this exercise uses the population growth model.
A certain species of bird was... (answered by ikleyn,Boreal)
An endangered species of fish has a population that is decreasing exponentially (A =... (answered by Fombitz)
An endangered species of fish has a population that is decreasing exponentially. The... (answered by josgarithmetic)