A study of the annual population of butterflies in the country park shows the population,B(t), can be represented by the functio
n B(t)=137(1.085)^t, where the T represents the number of years since the study started based on the function what is the growth rate
1 answer:
Given:
Annual population of butterflies after t years is

To find:
The growth rate.
Solution:
The general exponential function is
...(i)
where, a is initial value, t is time and r is growth rate.
We have,

It can be written as
...(ii)
On comparing (i) and (ii), we get
Initial value : 
Growth rate : 
Therefore, the growth rate is 8.5%.
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