The growth rate of escherichia coli, a common bacterium found in the human intestine, is proportional to its size. under ideal laboratory conditions, when this bacterium is grown in a nutrient broth medium, the number of cells in a culture doubles approximately every 15 min.(a)if the initial population is 10, determine the function q(t) that expresses the growth of the number of cells of this bacterium as a function of time t (in minutes). q(t)=10e^[ln(2)/15](b)how long would it take for a colony of 10 cells to increase to a population of 1 million? (round your answer to the nearest whole number.)