I need some help!!

Question

A rabbit population grows according to an exponential growth model. The initial rabbit population is P0=11, and the growth rate is r=0.2.

Then:

P1= (round to the nearest rabbit)

P2= (round to the nearest rabbit)

Find an explicit formula for Pn. Your formula should involve n

Pn=

Use your formula to find P12

P12=

Round answers to the nearest rabbit

Answer 1

P(n) = Poe^rn

where n = the number of time periods

e = about 2.71828

Po = original number of rabbits

P(n) = rabbits in time period n

r= the growth rate

P1 = 11e^.2 = about 13.44= about 13 rabbits

P2 = 11e^.2(2) = 11e^.4 = 16.41 = about 16 rabbits

P12 = 11e^.2(12) = about 121 rabbits