Final answer:
To determine the number of rabbits after 1 year, use the formula for exponential growth: A(t) = A(0)e^(kt).
Step-by-step explanation:
To determine the number of rabbits after 1 year, we need to use the formula for exponential growth: A(t) = A(0)e^(kt), where A(t) represents the final number of rabbits, A(0) represents the initial number of rabbits, k represents the growth rate, and t represents the time in months.
In this case, the initial number of rabbits is 20 and the growth rate is 2 (since the number of rabbits doubles every month). Plugging these values into the formula, we get A(t) = 20e^(2t).
After 1 year (12 months), we can substitute t = 12 into the formula to find the number of rabbits. A(12) = 20e^(2*12) = 20e^24 ≈ 1.03 x 10^10 rabbits.