The number n of bacteria is given by n = 200eᵏt. If n = 300 when t = 4 hours, find k and then determine approximately how long it will take for the number of bacteria to triple in size.
A) k = 0.1155, 7.6 hours
B) k = 0.1155, 6.9 hours
C) k = 0.1733, 6.9 hours
D) k = 0.1733, 7.6 hours