Application of exponential and logarithmic functions:
Q(t) = Qe^kt
The count in a bacterial culture was 400 after 2 hrs and 25,600 after 6 hrs.
We are supposing the exponential growth.
Q1. Determine the rate of growth of the population of bacteria?
Q2. Determine the initial population at time t = 0 hrs?
Q3. Write down the function which models the population n(t) after t hrs.
Q4. When will the number of bacteria surpass 100,000?