Question

The table lists average annual cost (in dollars) of tuition and fees at private four-year colleges for selected years. Year Cost (in dollars) 2013 24,538 2014 25,732 2015 26,754 2016 27,959 2017 29,501 (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, 29501) 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, $27,959. (c) Use the linear regression feature of a graphing calculator to find the equation of the line of best fit. (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

          The table lists average annual cost (in dollars) of tuition and fees at private four-year colleges for selected years. 

Year Cost (in dollars)
2013 24,538
2014 25,732
2015 26,754
2016 27,959
2017 29,501

(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, 29501) 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, $27,959.
(c) Use the linear regression feature of a graphing calculator to find the equation of the line of best fit.

(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

The table lists average annual cost (in dollars) of tuition and fees at private four-year colleges for selected years.

Year Cost (in dollars)
2013 24,538
2014 25,732
2015 26,754
2016 27,959
2017 29,501

(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, 29501) 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, 27,959.
(c) Use the linear regression feature of a graphing calculator to find the equation of the line of best fit.

(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

Added by Lisa C.

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