A bacterial culture initially contains 2×105 cells. After 3 hours the number of cells is observed to be 5×105 and the growth is continuous.
a. (i) Find the growth constant k per hour (correct to four significant figures).
b. (ii) Predict the number of cells present after a further 4 hours.
c. (iii) Calculate the time required (in hours and minutes) for the culture to reach one million cells.