PROBLEM SOLVING The growth of Mycobacterium tuberculosis bacteria can be modeled by the function N(t) = ae^ 0.166t , where N is the number of cells after t hours and a is the number of cells when t = 0. a. At 1:00 p. m., there are 30 M. tuberculosis bacteria in a sample. Write a function that gives the number of bacteria after 1:00 p. m. b. Use a graphing calculator to graph the function in part (a). c. Describe how to find the number of cells in the sample at 3:45 p. m.