Question

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:))

Answer 1

Answer:

A) y= 30e^(0.116t)

C) 2.75

Step-by-step explanation:

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

Answer 2

B) use q graphing calculator to graph the function