Question: U.S. minimum hourly wage, in dollars, for selected years from 19562009 is shown in the table. The linear model y = 0.1132x + 0.4609 approximates

U.S. minimum hourly wage, in dollars, for selected years from 1956–2009 is shown in the table. The linear model

y = 0.1132x + 0.4609

approximates the minimum wage during this time period, where x is the number of years after 1956 and y is the minimum wage in dollars.

Minimum Minimum Year Wage Wage Year 1956 1996 1.00 4.75 1963 1.25 1997 5.15 1975 2.10 2007 5.85 1981 6.55 3.35 2008 1990


U.S. minimum hourly wage, in dollars, for selected years from


(a) Use the model to approximate the minimum wage in 1990. How does it compare to the data in the table?

(b) Use the model to approximate the year in which the minimum wage was $5.85. How does the answer compare to the data in the table?

Minimum Minimum Year Wage Wage Year 1956 1996 1.00 4.75 1963 1.25 1997 5.15 1975 2.10 2007 5.85 1981 6.55 3.35 2008 1990 3.80 2009 7.25

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