Below is the data collected in class for the "Deriving Dead", application problem.

I am listing the data as ordered triples, where the first coordinate represents the Stage Number, the second coordinate represents the Number of Newly Infected, and the third coordinate represents the Number of Total Infected.

( 0 , 1 , 1 ) , ( 1 , 1 , 2 ) , ( 2 , 2 , 4 ) , ( 3 , 4 , 8 ) , ( 4 , 7 , 15 ) , ( 5 , 13 , 28 ) , ( 6 , 19 , 47 )

( 7 , 27 , 74 ) , ( 8 , 28 , 102 ) , ( 9 , 26 , 128 ) , ( 10 , 13 , 141 ) , ( 11 , 7 , 148 ) , ( 12 , 1 , 149 )

Let's make the number of people in our "closed environment" be 150, instead of 149 that was stated in class. That will give us a horizontal asymptote of 150, which should be a little easier to work with.