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K The table lists average annual cost (in dollars) of tuition and fees at private four-year colleges for selected years. (a) Determine a linear function f(x) = ax + b that models the data, where x = 0 represents 2013, x= 1 represents 2014, and so on. Use the points (0, 24538) and (4, 29450) to graph f and a scatter diagram of the data on the same coordinate axes. What does the slope of the graph indicate? (b) Use the function from part (a) to approximate average tuition and fees, to the nearest dollar, in 2016. Compare the approximation to the actual figure given in the table, $27,941 (c) Use the linear regression feature of a graphing calculator to find the equation f the line best fit. View an example Get more help . Slope 42 -1 Year Ха-х устать 1=M(Xx-x1) 2013 2014 2015 2016 2017 (a) What is the linear model for the data? f(x)= (Type your answer in slope-intercept form. Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed.) Cost (in dollars) 24,538 25,709 26,734 27,941 29,450 Clear all Check answer

K The table lists average annual cost (in dollars) of tuition and fees at private four-year colleges for selected years. (a) Determine a linear function f(x) = ax + b that models the data, where x = 0 represents 2013, x= 1 represents 2014, and so on. Use the points (0, 24538) and (4, 29450) to graph f and a scatter diagram of the data on the same coordinate axes. What does the slope of the graph indicate? (b) Use the function from part (a) to approximate average tuition and fees, to the nearest dollar, in 2016. Compare the approximation to the actual figure given in the table, $27,941 (c) Use the linear regression feature of a graphing calculator to find the equation f the line best fit. View an example Get more help . Slope 42 -1 Year Ха-х устать 1=M(Xx-x1) 2013 2014 2015 2016 2017 (a) What is the linear model for the data? f(x)= (Type your answer in slope-intercept form. Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed.) Cost (in dollars) 24,538 25,709 26,734 27,941 29,450 Clear all Check answer

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.3: Modeling Data With Linear Functions
Problem 17E: Later High School Graduates This is a continuation of Exercise 16. The following table shows the...
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K The table lists average annual cost (in dollars) of tuition and fees at private four-year colleges for selected years. (a) Determine a linear function f(x) = ax + b that models the data, where x = 0 represents 2013, x= 1 represents 2014, and so on. Use the points (0, 24538) and (4, 29450) to graph f and a scatter diagram of the data on the same coordinate axes. What does the slope of the graph indicate? (b) Use the function from part (a) to approximate average tuition and fees, to the nearest dollar, in 2016. Compare the approximation to the actual figure given in the table, $27,941 (c) Use the linear regression feature of a graphing calculator to find the equation of the line best fit. View an example Get more help. Slope 42 -1 Year Ха-х устать "=M(Xx-x1) 2013 2014 2015 2016 2017 (a) What is the linear model for the data? (Type your answer in slope-intercept form. Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed.) Cost (in dollars) 24,538 25,709 26,734 27,941 29,450 Clear all Check answer
Transcribed Image Text:K The table lists average annual cost (in dollars) of tuition and fees at private four-year colleges for selected years. (a) Determine a linear function f(x) = ax + b that models the data, where x = 0 represents 2013, x= 1 represents 2014, and so on. Use the points (0, 24538) and (4, 29450) to graph f and a scatter diagram of the data on the same coordinate axes. What does the slope of the graph indicate? (b) Use the function from part (a) to approximate average tuition and fees, to the nearest dollar, in 2016. Compare the approximation to the actual figure given in the table, $27,941 (c) Use the linear regression feature of a graphing calculator to find the equation of the line best fit. View an example Get more help. Slope 42 -1 Year Ха-х устать "=M(Xx-x1) 2013 2014 2015 2016 2017 (a) What is the linear model for the data? (Type your answer in slope-intercept form. Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed.) Cost (in dollars) 24,538 25,709 26,734 27,941 29,450 Clear all Check answer
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