A culture of bacteria has an initial population of 400 bacteria and doubles every 2 hours. using the formula p, start subscript, t, end subscript, equals, p, start subscript, 0, end subscript, dot, 2, start superscript, start fraction, t, divided by, d, end fraction, end superscriptp t ? =p 0 ? ?2 d t ? , where p, start subscript, t, end subscriptp t ? is the population after t hours, p, start subscript, 0, end subscriptp 0 ? is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 13 hours, to the nearest whole number?
a) 1,600
b) 3,200
c) 6,400
d) 12,800