SOLUTION: A bird species in danger of extinction has a population that is decreasing exponentially \left(A = A_0 e^{kt}\right).
6 years ago the population was at 1710 and today only 950 o
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Question 1077241: A bird species in danger of extinction has a population that is decreasing exponentially \left(A = A_0 e^{kt}\right).
6 years ago the population was at 1710 and today only 950 of the birds are alive. Once the population drops below 150, the situation will be irreversible. When will this happen?
Found 2 solutions by josgarithmetic, jorel1380:
Answer by josgarithmetic(39614) (Show Source): You can put this solution on YOUR website!
From 6 years ago to now:
, k will be found negative in value.
, and t quantity used was t=6;
MODEL:
-
If and , what is t?
You do this on your own?
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
From the question, we get:
950=1710*e^6k
So:
950/1710=e^6k
0.55555555555555555555555555555556=e^6k
ln 0.55555555555555555555555555555556= ln e^6k=6k*ln e
k=-0.09796444415035316803162185676981
Then:
150/950=e^t*-0.09796444415035316803162185676981
0.15789473684210526315789473684211=e^t*-0.09796444415035316803162185676981
ln 0.15789473684210526315789473684211=ln e^t*-0.09796444415035316803162185676981
t=18.84180 years from now. ☺☺☺☺
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