180 Chapter 2 Linear Equations in Two Variables and Functions 17. The graph displays the number of associate degrees conferred in the United States at the end of selected academic years.The variable x represents the number of years since 1970, and the variable y represents the number of associate degrees in thousands. Number of Associate Degrees Awarded (in thousands) in the United States for Selected Years 1000 800 600 400 200 (34, 665) 0 0 10 20 30 40 50 Year (x 5 0 represents 1970) Degrees (thousands) a. Use the points (20, 455) and (34, 665) to create a linear model of the data. b. What does the slope mean in the context of this problem? c. If this linear trend continues, predict the number of associate degrees that will be conferred in the United 18. The number of prisoners in federal or state correctional facilities is shown in the figure by year. (Source: U.S. Department of Justice) a. Use the given points to create a linear model of the data. b. What does the slope mean in the context of this problem? c. Use the equation in part (a) to predict the number of prisoners in federal or state correctional facilities for the year 2015. (20, 455) x y Number of Prisoners Under Jurisdiction of Federal or State Correctional Authorities 2500 s) 1000’2000 1500 (Number 1000 0 0 4 8 12 16 20 24 19. At a concession stand at a high school football game, the owner notices that the relationship between the price of a hot dog and the number of hot dogs sold is linear. If the price is $2.50 per hot dog, then approximately 650 are sold each night. If the price is raised to $3.50, then the number sold drops to 475 per night. a. Make a graph with the price of hot dogs on the x-axis and the number of hot dogs sold on the y-axis. Use the points (2.50, 650) and (3.50, 475).Then graph the line through the points with x 0 . b. Find an equation of the line through the points. Write the equation in slope-intercept form. c. Use the equation from part (b) to predict the number of hot dogs that would sell if the price were raised to $4.00. Round to the nearest whole unit. Year (x 5 0 represents 1990) 500 (8, 1220) (4, 1003) x y 1000 0 0 Number Sold Number of Hot Dogs Sold Versus Price 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 Price of Hot Dogs ($) x 1200 y 800 600 400 200 States in the year 2015.
miller_intermediate_algebra_4e_ch1_3
To see the actual publication please follow the link above