The table lists the annual cost (in 2019 dollars) of tuition and fees at private four-year colleges for selected years. (See Example 13.) Source: The College Board. Year Tuition and Fees Year Tuition and Fees 2010 31,500 2016 35,720 2012 32,470 2017 36,380 2014 33,690 2018 36,330 2015 34,770 2019 36,880 (a) Sketch a graph of the data. Do the data appear to lie roughly along a straight line? (b) let t =0 correspond to the year 2000. Use the points (110, 31,5002) and (119, 36,8802) to determine a linear equation that models the data. What does the slope of the graph of the equation indicate? (c) Discuss the accuracy of using this equation to estimate the cost of private college in 2035.
The table lists the annual cost (in 2019 dollars) of
tuition and fees at private four-year colleges for selected years.
(See Example 13.) Source: The College Board.
Year Tuition and Fees Year Tuition and Fees
2010 31,500 2016 35,720
2012 32,470 2017 36,380
2014 33,690 2018 36,330
2015 34,770 2019 36,880
(a) Sketch a graph of the data. Do the data appear to lie roughly
along a straight line?
(b) let t =0 correspond to the year 2000. Use the points
(110, 31,5002) and (119, 36,8802) to determine a linear equation that models the data. What does the slope of the graph of the equation indicate?
(c) Discuss the accuracy of using this equation to estimate the
cost of private college in 2035.
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