A bird species in danger of extinction has a population that is decreasing exponentiallyA=A_0 e^(kt).Five years ago the population was at 1400 and today only 1000 of the birds are alive. Once the population drops below 100, the situation will be irreversible. When will this happen?

emancipezN

emancipezN

Answered question

2021-02-19

A bird species in danger of extinction has a population that is decreasing exponentially
A=A0ekt.
Five years ago the population was at 1400 and today only 1000 of the birds are alive. Once the population drops below 100, the situation will be irreversible. When will this happen?

Answer & Explanation

Asma Vang

Asma Vang

Skilled2021-02-20Added 93 answers

The population of birds vary as A=A0ekt
Given that population of brds fell from 1400 to 1000,we are asked how much time it will ake forthe population to fall below 100 when t=5
we can write the following equation
1400=1000e5k
k=1.45
we need to find x,such that 1400100=(exk)
14=(exk)
in (14)=kx
x=5(14)(1.4)39 years
It will take 39 years for the population f birds to fall below 100

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