There are many Native American tribes that are not recognized by the U.S. government, which means they cannot seek the same health and educational opportunities as federal tribes. Because of difficult requirements to achieve recognition, many tribes have never completed the process. The number of tribes that sought recognition was 11 in 2005, and it decreased by about 1.2 tribes per year until 2014 (Source: Bureau of Indian Affairs). Let f1t2 be the number of tribes who seek recognition in the year that is t years since 2005.
a. Find an equation of f.
b. Find f (8). What does it mean in this situation?
c. Find t when f (t) = 8. What does it mean in this situation?