A population of 40 bunnies increases by 100% every year at a constant rate. How many years will it take until the population hits 119238?

Answer 1

Start off looking at the trend, year by year, start at the end of the first year, Let b + Bunnies

Year 1: B = 2 x 40 = 80

Year 2: B = 2 x 80 = 2 x 2 x 40 = 160

Year 3: B = 2 x 160 = 2 x 2 x 2 x 40 = 320 you see the trend so the general term is........

Year n: B = 2ⁿ x 40 If you set 2ⁿ x 40 = 119,238 n = 11.54..

So, it takes about 11.54+ years to reach 119,238 bunnies