The U.S. Census Bureau maintains a “population clock” that keeps track of the population o...

The U.S. Census Bureau maintains a “population clock” that keeps track of the population of the United States. In 1967, as the population clock reached 200,000,000, a Chinese-American baby was born in Atlanta and designated (by Life Magazine) as the 200,000,000th American. Since that time, the population has continued to grow (reaching 300,000,000 by the time you read this), and has become increasingly diverse. The percentages of the population that are African-American, Asian, and Hispanic have increased, while the percentage of the population that is white has decreased, as indicated in Fig.

Figure Change in race/ethnicity of U.S. population.

Source: Allanta Journal-Constitution.

a. Find a piecewise linear function P(t) that gives the percentage of the population that is white as a function of the year.

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b. According to your model, what percentage of the population was white in 1949?

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c. According to your model, what percentage of the population will be white in 2010?

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d. Use your model to determine when the percentage of the population that is white was 75%.