The table lists the percent of the U.S. population that was foreign-born for selected years.

(a) Plot the data. Let x = 0 correspond to the year 1930, x = 10 correspond to 1940, and so on.

(b) Find a quadratic function ƒ(x) = a(x - h)² + k that models the data. Use 140, 4.72 as the vertex and 120, 6.92 as the other point to determine a.

(c) Plot the data together with ƒ in the same window. How well does ƒ model the percent of the U.S. population that is foreign-born?

(d) Use the quadratic regression feature of a graphing calculator to determine the quadratic function g that provides the best fit for the data.

(e) Use functions ƒ and g to predict the percent, to the nearest tenth, of the U.S. population in 2019 that will be foreign-born.

Year ....................................Percent

1930 ......................................11.6

1940 ........................................8.8

1950 ........................................6.9

1960 ........................................5.4

1970 ........................................4.7

1980 ........................................6.2

1990 ........................................7.9

2000 ......................................11.1

2010 ......................................12.4

2012 ......................................12.9