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 \dfrac 14 4 1 start fraction, 1, divided by, 4, end fraction of its size every 444444 seconds. The number of remaining bacteria can be modeled by a function, NNN, which depends on the amount of time, ttt (in seconds). Before the medicine was introduced, there were 11{,}88011,88011, comma, 880 bacteria in the Petri dish. Write a function that models the number of remaining bacteria ttt seconds since the medicine was introduced.