Section 2.4 Applications of Linear Equations and Modeling 181 20. Sales at a concession stand indicate that the relationship between the price of a drink and the number of drinks sold is linear. If drinks are sold at $1.00 each, then approximately 1020 are sold each night. If the price is raised to $1.50, then the number sold drops to 820 per night. 1400 1000 0 0.00 Number Sold Number of Drinks Sold Versus Price 0.50 1.00 1.50 2.00 Price per Drink ($) x 1600 1200 y 800 600 400 200 a. Make a graph with the price of drinks on the x-axis and the number of drinks sold on the y-axis. Graph the points (1.00, 1020) and (1.50, 820).Then graph the line through the points with 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 drinks that would sell if the price were $2.00 per drink. 21. In order to advise students properly, a college advisor is interested in the relationship between the number of hours a student studies in an average week and the student’s GPA.The data are shown in the table. a. Let x represent study time and let y represent GPA. Graph the points. GPA Grade Point Average Versus Weekly Study Time y b. Does there appear to be a linear trend? c. Use the data points (28, 3.1) and (10, 2.2) to find an equation of the line through these points. d. Use the equation in part (c) to estimate the GPA of a student who studies for 30 hr a week. e. Why would the linear model found in part (c) not be realistic for a student who studies more than 46 hr per week? Weekly Study Time (hr) 4 3.5 3 2.5 2 1.5 1 0.5 0 0 5 10 15 20 25 30 35 40 45 50 x x 0. Study Time Student (in hours) GPA 1 15 2.5 2 38 3.9 3 10 2.1 4 24 2.8 5 35 3.3 6 15 2.7 7 45 4.0 8 28 3.1 9 35 3.4 10 10 2.2 11 6 1.8
miller_intermediate_algebra_4e_ch1_3
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