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rjkz [21]
3 years ago
5

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
Mathematics
1 answer:
pav-90 [236]3 years ago
6 0

Given:

Annual population of butterflies after t years is

B(t)=137(1.085)^t

To find:

The growth rate.

Solution:

The general exponential function is

f(t)=a(1+r)^t        ...(i)

where, a is initial value, t is time and r is growth rate.

We have,

B(t)=137(1.085)^t

It can be written as

B(t)=137(1+0.085)^t           ...(ii)

On comparing (i) and (ii), we get

Initial value : a=137

Growth rate : r=0.085=8.5\%

Therefore, the growth rate is 8.5%.

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