Application of the logarithmic and exponential functions:
Q(t) = Qe^kt
Count in a bacterial culture was 400 after 2 hours and 25,600 after 6 hours.
We are supposing the exponential growth.
1) State the rate of growth of population of bacteria?
2) State the initial population at time t = 0 hours?
3) State the function which models the population n(t) after t hours.
4) Also specify when will the number of bacteria exceed 100,000?