The following table shows the average yearly tuition and required fees, in dollars, charged by four-year American private universities in the school year beginning in the given year. Date Average tuition 2012 $27,870 2013 $29,004 $30,138 2014 2015 $31,272 2016 $32,406 (a) Show that these data can be modeled by a linear function. For each change of 1 year in time there is an increase of $ in tuition. Find its formula. (Let d be the date in terms of number of years since 2012 and I tuition in dollars.) T(d) = (b) Plot the data points and add the graph of the linear formula you found in part (a). T 34 000- 32 000 32 000 30 000 30 000 28 000 28 000 1 2 3 1 3 34 000- 34 000 32 000 32 000 30 000 30 000 28 000 d d 2 3 3 (c) What prediction does this formula give for average tuition and fees at four-year American private universities for the academic year ending in 2024?

The following table shows the average yearly tuition and required fees, in dollars, charged by four-year American private universities in the school year beginning in the given year. Date Average tuition 2012 $27,870 2013 $29,004 $30,138 2014 2015 $31,272 2016 $32,406 (a) Show that these data can be modeled by a linear function. For each change of 1 year in time there is an increase of $ in tuition. Find its formula. (Let d be the date in terms of number of years since 2012 and I tuition in dollars.) T(d) = (b) Plot the data points and add the graph of the linear formula you found in part (a). T 34 000- 32 000 32 000 30 000 30 000 28 000 28 000 1 2 3 1 3 34 000- 34 000 32 000 32 000 30 000 30 000 28 000 d d 2 3 3 (c) What prediction does this formula give for average tuition and fees at four-year American private universities for the academic year ending in 2024?

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 6E: 6. Tuition at American Private Universities The following table shows the average yearly tuition and...

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6. Tuition at American Private Universities The following table shows the average yearly tuition and required fees, in dollars, charged by four-year American private nonprofit universities in the school year ending in the given year. Date Average tuition 2012 27,870 2013 29,004 2014 30,138 2015 31,272 2016 32,406 a. Show that these data can be modeled by a linear function, and find its formula. b. Plot the data points and add the graph of the linear formula you found in part a. c. What prediction does this formula give for average tuition and fees at four-year American private nonprofit universities for the academic year ending in 2021?
Does Table 1 represent a linear function? If so, finda linear equation that models the data.
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