## In an effort to control vegetation overgrowth, 114 rabbits are released in an isolated area free of predators. After 3 years, it is estimate

Question

In an effort to control vegetation overgrowth, 114 rabbits are released in an isolated area free of predators. After 3 years, it is estimated that the rabbit population has increased to 912. Assuming exponential population growth, what will the population be after another 3 months? Round to the nearest rabbit.

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1. 114 rabbits are released in an isolated area free of predators

When month =0 , the rabbits = 114

3 years = 36 months

When months = 36 , then rabbits = 912

(0,144) and (36, 912)

Exponential growth equation is y = ab^x

Plug in each point and solve for ‘a’  and ‘b’ so a= 114

(36, 912) Divide both sides by 114 and then take 36th root on both sides

8 = b^36

b = 1.05946

so exponential equation is x is the number of months and y is the population

to find the population be after another 3 months

Plug in 36+3= 39 for x  and find out y y= 1084.43336

so , 1084 rabbits after another 3 months