After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the dish decreases rapidly. The population loses 1/4 of its size every 44 seconds. The number of remaining bacteria can be modeled by a function, N, which depends on the amount of time, t (in seconds). Before the medicine was introduced, there were 11,880 bacteria in the Petri dish. Write a function that models the number of remaining bacteria t seconds since the medicine was introduced.