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Sagot :
Given:
The initial population of rabbit = 8
Population of rabbits doubles every 4 months.
To find:
The number of population in 1 year.
Solution:
The exponential growth model is
[tex]y=a(b)^x[/tex] ...(i)
Where, a is the initial population, b is growth factor, x is time period.
We know that,
12 month = 1 year
So, there are 3 time period of 4 months in an year.
Initial population of rabbit (a) = 8
Population of rabbits doubles every 4 months. So, growth factor is 2, i.e., b=2 and the time period is 3, i.e., x=3.
Putting a=8, b=2, x=3 in (i), we get
[tex]y=8(2)^3[/tex]
[tex]y=8(8)[/tex]
[tex]y=64[/tex]
Therefore, the population of rabbit in 1 year will be 64.
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