(Modeling) Solve the problem. See Examples 5 and 6.Mobility of Americans The bar graph sho...

(Modeling) Solve the problem. See Examples 5 and 6.

Mobility of Americans The bar graph shows the percent of Americans moving each year in the decades since the 1960s. The linear model

y = −.93x + 20.45,

where y represents the percent moving each year in decade x, approximates the data fairly well. The decades are coded, so that x = 1 rep resents the 1960s, x = 2 represents the 1970s, and so on. Use this model to answer each question.

Less Mobile Americans

Source: U.S. Census Bureau.

(a) Using the equation, what was the approximate percent of Americans moving in the 1960s? Compare your answer to the data in the graph.

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(b) sing the equation, what was the approximate percent of Americans moving in the 1980s? How does the approximation compare to the data in the graph?

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(c) At the end of 2006, the U.S. Population was about 301 million From the data given in the graph, approximately how many Americans moved that year?

EXAMPLE 5

MODELING THE PREVENTION OF INDOOR POLLUTANTS

EXAMPLE 6

MODELING HEALTH CARE COSTS