Talulah is an ecologist who studies the change in the penguin population of Antarctica over time. She

observed that the population decays by a factor of every 4 months. The population of penguins can be

modeled by a function, P. which depends on the amount of time, t (in months)

When Talulah began the study, she observed that there were 27,000 penguins in Antarctica.

Write a function that models the population of the penguins t months since the beginning of Talulah's

P(t) =