A substantial percentage of the United States population is foreign-born. The bar graph

Chapter 6, Problem 85

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A substantial percentage of the United States population is foreign-born. The bar graph shows the percentage of foreign-born Americans for selected years from 1920 through 2010.

The percentage, p, of the United States population that was foreign-born x years after 1920 can be modeled by the formula

\(p = 0.004x^{2} - 0.36x + 14\).

Use the formula to solve Exercises 85–86.

a. According to the model, what percentage of the U.S. population was foreign-born in 2000? Does the model underestimate or overestimate the actual number displayed by the bar graph? By how much?

b. If trends shown by the model continue, in which year will 18% of the U.S. population be foreign-born?

Text Transcription:

p = 0.004x^2 - 0.36x + 14

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