At Generic Middle School, 8 students were sick with the flu on the first day of school. By the end of the
first week 12 students were sick and by the end of the
2nd week there were 18 students sick. The
attendance clerk noticed that the number of students
getting sick was growing exponentially with a growth
factor of '1.5

A function model that describes the number that have
gotten sick would S(x) = 8 (1.5*), where x is the
number of weeks completed at school.
Using the model, how many students could be expected to have been sick by the end
of the 6th week?

Approximately 41 students
Approximately 205 students
Approximately 91 students
Approximately 72 students