The growth of Mycobacterium tuberculosis bacteria can be modeled by the function N ( t ) = a e ^ { 0.166t }, where N is the numb
er 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
A) You just plug in 30 for a in the original equation
B) Self explanatory
C) The difference between 1 pm and 3:45 pm is equivalent to 2:45 minutes. In this case 45/60(45 mins/hour) is equal to 3/4 which really is .75. The 2 should be the hours so the answer is 2.75