The bar graph shows the population of lhe United Slates, in millions. for six selected

Chapter 3, Problem 68

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The bar graph shows the population of lhe United Slates, in millions. for six selected years. Population of the United States 1985 19W Male 1995 Year Source: U.S. Census Bureau Female 2000 2005 Here are two functions that model the data: 2010 Mtl 0.$. popultfi \ M( ) 1 -3 114 8 A M~x), i11milliou, x X - .) X+ . ori98S F(x ) - 1.46x ~ 120.7. -" hml U.S. ,.pubtio, F{x), i Million, x yurt titer 1985 a. Write a function that models lhe total U.S. population, P(x), in millions,x years after 1985. b. Write a rational function that models the fraction of men in the U.S. population, R(x), x years after 1985. c. \Vhal is the equation of the horizontal asymptote associated with the function in part (b)? Round lo two decimal places. What does this mean about the percentage of men in the U.S. population over time?

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