For the given equation modelling , the population growth is defined as
P(t)=30000(1.02)^t , then approximate change in population which occurs between 2years and 10years is equal to 5,358.
As given in the question,
Given equation modelling is :
P(1)=30000(1.02)^1
Where P represents the population of 1 year from now.
From this we defined the standard equation modelling which is given by:
P(t)=30000(1.02)^t
Where 't' represents the time
Now when t = 2 years
P(2) = 30000(1.02)^2
= 31,212
When t = 10years
P(10) = 30000(1.02)^10
= 36,570
Approximate change in population between 2 years and 10 years is
= P(10) - P(2)
= 36,570 - 31,212
= 5,358
Therefore, for the given equation modelling , the population growth is defined as P(t)=30000(1.02)^t , then approximate change in population which occurs between 2years and 10years is equal to 5,358.
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