Each set of data can be modeled by the quadratic function f(x) = ax² + bx + c. 

(a) Write a linear system whose solution represents values of a, b, and c. 

(b) Use technology to find the solution. 

(c) Graph f and the data in the same viewing rectangle. 

(d) Make your own prediction using f.

A large percentage of the U.S. population will require chronic health care in the coming decades. The average age of caregivers is 50-64, while the typical person needing chronic care is 85 or older. The ratio y of potential caregivers to those needing chronic health care will shrink in the coming years x, as shown in the table.

Transcribed Image Text:

x 1990 11 2010 10 2030 6