Write an equation that represents the line
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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