According to the US census bureau, the population of the US seniors 65 and older, in the year 2004 was approximately 36,300,000 people. In the year 2010, it was 40,267,984 people. The senior population was growing at an approximately constant rate during this period.

A. Use the information to express the US senior population as a function of time since the year 2000.

B. What is the slope of the function, what does this mean in context?

C. what would this model indicate that the US population of seniors was in the year 2000?

D. What does this model predict the US population of seniors to be for the 2020 census? Do you think this will be an overestimate/underestimate why?

E. when does your model predict the US population of seniors to be 45,500,000 people?