The graph shows the number of students enrolled in public colleges for selected years (Source: U.S. National Center for Education Statistics, www.nces.ed.gov). The x variable represents the number of years since 1990 and the y variable represents the number of students (in millions). a. Use the points (4, 11.2) and (14, 13.0) to write a linear model for these data. b. Interpret the meaning of the slope in the context of this problem. c. Interpret the meaning of the y-intercept in the context of this problem. d. In the event that the linear trend continues beyond the last observed data point, use the model in part (a) to predict the number of students enrolled in public colleges for the year 2020. Number of Students Enrolled in Public Colleges 20 15 10 (14, 13.0) |(4,11.2) 10 15 20 25 Year (x = 0 represents 1990) Millions

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The graph shows the number of students enrolled in public colleges for selected years (Source: U.S. National Center for
Education Statistics, www.nces.ed.gov). The x variable represents the number of years since 1990 and the y variable
represents the number of students (in millions).
a. Use the points (4, 11.2) and (14, 13.0) to write a linear model for these data.
b. Interpret the meaning of the slope in the context of this problem.
c. Interpret the meaning of the y-intercept in the context of this problem.
d. In the event that the linear trend continues beyond the last observed data point, use the model in part (a) to predict the
number of students enrolled in public colleges for the year 2020.
Number of Students Enrolled in Public Colleges
20
15
10
(14, 13.0)
|(4,11.2)
10
15
20
25
Year (x = 0 represents 1990)
Millions
Transcribed Image Text:The graph shows the number of students enrolled in public colleges for selected years (Source: U.S. National Center for Education Statistics, www.nces.ed.gov). The x variable represents the number of years since 1990 and the y variable represents the number of students (in millions). a. Use the points (4, 11.2) and (14, 13.0) to write a linear model for these data. b. Interpret the meaning of the slope in the context of this problem. c. Interpret the meaning of the y-intercept in the context of this problem. d. In the event that the linear trend continues beyond the last observed data point, use the model in part (a) to predict the number of students enrolled in public colleges for the year 2020. Number of Students Enrolled in Public Colleges 20 15 10 (14, 13.0) |(4,11.2) 10 15 20 25 Year (x = 0 represents 1990) Millions
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