The following table displays the percentage P of the U.S. population that was foreign-born in the year y:
x | 1930 | 1940 | 1950 | 1960 | 1970 | 1980 | 1990 | 1996 |
P(%) | 11.6 | 8.8 | 6.9 | 5.4 | 4.8 | 6.2 | 7.9 | 9.3 |
Source: World Almanac and Book of Facts 1998.
a. Find the quadratic model that best fits these data.
b. Use your model to predict the percentage of the population that was foreign-born in 2000.
c. According to your model, what is the minimum percentage of the U.S. population that was foreign-born from 1930 to 1996?
d. According to your model, in what year did the minimum percentage occur?
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