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 25\%25%25, percent of its size every 141414 seconds, and can be modeled by a function, NNN, which depends on the amount of time, ttt (in seconds). Before the medicine was introduced, there were 45{,}00045,00045, comma, 000 bacteria in the Petri dish.
Write a function that models the number of bacteria ttt seconds since the medicine was introduced.
N(t) =N(t)=N, left parenthesis, t, right parenthesis, equals