SOLUTION: The number of Americans (in thousands) who are expected to be over 100 years old in year x is approximated by: F(x) = .27x2 + 3.52x + 51.78 where x= 0 corresponds to 2000 a

Question 805876: The number of Americans (in thousands) who are expected to be over 100 years old in year x is approximated by:

F(x) = .27x2 + 3.52x + 51.78
where x= 0 corresponds to 2000 and the formula is valid through 2045.

a) Find a formula giving the rate of change in the number of Americans over 100 years old.
b) What is the rate of change in the number of Americans expected to be over 100 years old in the year 2015?

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The numbers that come from that equation seem a bit too high, but I like them.

I assume this is a problem from calculus class, that you are expected to calculate the derivative of , and that you know how to calculate derivatives of polynomials.

With those assumptions in mind,

a)

b) For the year 2015, and

meaning that the number of centenarians would be increasing by 11,890 a year.

RELATED QUESTIONS
The number of inmates N (measured in thousands) in federal and state prisons can be... (answered by TimothyLamb)

The number of inmates N (measured in thousands) in federal and state... (answered by jim_thompson5910)

The number of inmates N (measured in thousands) in federal and state prisons can be... (answered by greenestamps)

Because of medical advances and improved health care, people in the U.S can be expected... (answered by jorel1380)

A driver has something to do with his or her chance of getting into a fatal car crash.... (answered by Boreal)

A driver has something to do with his or her chance of getting into a fatal car crash.... (answered by MathLover1)

The number of years a person born in the United States is expected to live can be... (answered by oscargut)

Hello. I know this is kind of a long question, but I am having issues with it. Any help... (answered by rothauserc)