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 2014 $30,138 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 T tuition in dollars.) T(d) = 27,870+1134d (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 universities for the academic year ending in 2018? $
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 2014 $30,138 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 T tuition in dollars.) T(d) = 27,870+1134d (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 universities for the academic year ending in 2018? $
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 |
| 2014 | $30,138 |
| 2015 | $31,272 |
| 2016 | $32,406 |
(a) Show that these data can be modeled by a linear function.
Find its formula. (Let d be the date in terms of number of years since 2012 and T tuition in dollars.)
(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 universities for the academic year ending in 2018?
$
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 T tuition in dollars.)
T(d) =
27,870+1134d
(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 universities for the academic year ending in 2018?
$
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