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Sagot :
Answer:
There will be 361 individuals in 4 years.
Step-by-step explanation:
Exponential equation of population decay:
The amount of individuals of a certain population, after t years, with a decay rate of r(as a decimal), is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial population and r is the decay rate.
The population of a certain animal species decreases at a rate of 2.5%.
This means that [tex]r = 0.025[/tex]
There are 400 individuals:
This means that [tex]n = 400[/tex]. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 400(1-0.025)^t[/tex]
[tex]A(t) = 400(0.975)^t[/tex]
How many there will be in 4 years?
This is A(4). So
[tex]A(4) = 400(0.975)^4 = 361.4[/tex]
Rounding to the nearest whole number, there will be 361 individuals in 4 years.
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