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.

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

i think it's b

step-by-step explanation:

because the graph is 2 above (0,0)