A bacteria culture initially contains 2000 bacteria and doubles every half hour

We can write the following formula for the size of the bacterial population after t minutes

A(t) = Ao(2^(t/30)) where t is minutes, Ao = 2000 bacteria

Find the size of the bacterial population after 100 minutes

A(100) = 2000*2^(100/30) = 2000*10.079 = 20,158.7 bacteria

Find the size of the bacterial population after 6 hours

6 hrs = 6*60 minutes = 360 minutes

A(360) = 2000*2^(360/30) = 2000*2^12 = 8,192,000 bacteria