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 bacterial culture loses $\dfrac 14$ of its size every $44$ seconds, and 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 bacteria $t$ seconds since the medicine was introduced.** $N(t) = $ [[☃ expression 1]]