In an appropriate environment, guppies reproduce at an astounding rate. A population of breeding guppies quadruples every month. How many guppies will there be after 6 months if the beginning population is only 6 guppies?

The answer is 24,576.

P (x) = P (0) * nˣ

P (x) - the final population after period x

P (0) - the initial population

n - the growth factor in decimal

x - period of time

P (6) = ?

P (0) = 6

n = 4

x = 6 months

P (6) = 6 * 4⁶

P (6) = 6 * 4096

P (6) = 24,567