The growth of Mycobacterium tuberculosis bacteria can be modeled by the function N ( t ) = a e ^ { 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

I NEED ALL 3 PARTS:))