Math, asked by btrestisjustdetails, 1 month ago

A warren of rabbits has a population of 25. The population is increasing at a rate of 20% per year. How can you write an exponential growth function to find the monthly growth rate?

Answers

Answered by amitnrw
5

Given : A warren of rabbits has a population of 25.

The population is increasing at a rate of 20% per year.

To Find : How can you write an exponential growth function

to find the monthly growth rate

Solution:

Let say monthly growth rate  = r %

Initial value = 25

Value after 1 year = 25 + (20/100)25  =  30  

25 ( 1 +  R/100)¹²  = 30

exponential growth function  yo find the monthly growth rate

25 ( 1 +  R/100)¹²  = 30

=> R = 1.5301  

exponential growth function where t is in months.

= 25* (1.015301)^t

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