. The growth rate of the bacterium, 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 40 min. If the initial cell population is 100, determine the function O(t) that expresses the exponential growth of the number of cells of this bacterium as a function of time t (in minutes). How long will it take for a colony of 100 cells to increase to a population of 1 million? If the initial cell population were 1000, how would this alter our model? 100, 000 = 100 . k . 90 a. O(t) = 100e ; 532 min; O(t) = 1000e 0.007t b. O(t) = 100e .17; 543 min; O(t) = 1000e 0.117 c. O(t) = 100e .0; 543 min; O(t) = 1000e 0.007t d. O(t) = 1000e .017; 532 min; O(t) = 1000e 0.017t O(t) = 100e 0017; 532 min; O(t) = 1000e 0.017t life If 50 g is stance are present initially find the amount