(Modeling) Minimum Wage Some values of the U.S. minimum hourly wage, in dollars, for selected years from 1956 to 2009 are 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.
| Year | MinimumWage | Year | MinimumWage |
| 1956 | 1.00 | 1996 | 4.75 |
| 1963 | 1.25 | 1997 | 5.15 |
| 1975 | 2.10 | 2007 | 5.85 |
| 1,981 | 3.35 | 2008 | 6.55 |
| 1,990 | 3.80 | 2009 | 7.25 |
Source: Bureau of Labor Statistics.
(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 your answer compare to the data in the table?
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