1. The member of polio cases reported each year worldwide has dramatically decreased. In the year 2000, there were about 4000 cases of polio. In the year 2008, there were
1700 cases of polio reported.
(a) (3 points) Find an exponential function f(t) = ab' which models the number
of reported polio cases each year since the year 2000. You can round your value
of b to 3 decimal places.
(b) (3 points) Use your function to predict the number of polio cases worldwide in
the year 2022
(c) (3 points) Use your function to predict the year in which there will be only 1
case of polio worldwide.