195 16. (Modeling) Online Retail Sales Projected retail e-commerce sales (in billions of dollars) for the years 2016–2022 can be modeled by the equation y = 52.304x + 396.80, where x = 0 corresponds to 2016, x = 1 corresponds to 2017, and so on. Based on this model, find projected retail e-commerce sales in 2022 to the nearest tenth of a billion. (Data from www.statista.com) 17. (Modeling) Minimum Wage U.S. federal 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. (Note: As of January 2019, the federal minimum wage remained at $7.25.) Year Minimum Wage Year Minimum Wage 1956 1.00 1996 4.75 1963 1.25 1997 5.15 1975 2.10 2007 5.85 1981 3.35 2008 6.55 1990 3.80 2009 7.25 Data from U.S. Department of Labor. (a) Use the model to approximate the minimum wage in 1990. How does the answer 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? 18. (Modeling) New York State Population The U.S. population, in millions, for selected years is given in the table. The bar graph shows the percentages of the U.S. population that lived in New York State during those years. 0 2 4 6 8 10 Percent Year New York State Population as Percent of U.S. Population Data from U.S. Census Bureau. 1980 1990 2000 2010 2017 7.8 7.2 6.8 6.3 6.1 Year U.S. Population (in millions) 1980 226.5 1990 248.7 2000 281.4 2010 308.7 2017 325.7 Data from U.S. Census Bureau. (a) Find the number of Americans, to the nearest tenth of a million, living in New York State for each year given in the table. (b) The percentages given in the bar graph decrease each year, while the populations given in the table increase each year. From the answers to part (a), is the number of Americans living in New York State increasing or decreasing? CHAPTER 1 Review Exercises
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