An initial population of 8,000 decays for two years until the population is 500.
By what percentage per year is the population decaying?
Given- An initial population of 8,000 decays for two years until the population is 500.
To find-what percentage per year is the population decaying.
Concept Used- The population decaying can be find out by using the expression,
, where A= intial population, A0= final population and r= rate of deaying.
Explanation-As per the question, an initial population of 8,000 decays for two years until the population is 500.
So, substituting the values as A=8,000 , A0=500 and n(number of years)=2 in the expression, , we get,
Or, the above expression can be written as,
Firstly, taking postive sign and solving further, we get,
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