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. Average tuition $27,870 $29,004 $30,138 $31,272 $32,406 (a) Show that these data can be modeled by a linear function. Date 2012 2013 2014 2015 2016 For each change of 1 year in time there is an increase of $ X in tuition. Find its formula. (Let d be the date in terms of number of years since 2012 and 7 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 d 1 2 3 4 1 4 T T 34 000 34 000 32 000 32 000 30 000 30 000 28 000 d 1 4 1 2 4 (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? Need Help? Read It Watch It

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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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.
Average tuition
$27,870
$29,004
$30,138
$31,272
$32,406
(a) Show that these data can be modeled by a linear function.
Date
2012
2013
2014
2015
2016
For each change of 1 year in time there is an increase of $
X in tuition.
Find its formula. (Let d be the date in terms of number of years since 2012 and 7 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
d
1
2
3
4
1
4
T
T
34 000
34 000
32 000
32 000
30 000
30 000
28 000
d
1
4
1
2
4
(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?
Need Help?
Read It
Watch It
Transcribed Image Text: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. Average tuition $27,870 $29,004 $30,138 $31,272 $32,406 (a) Show that these data can be modeled by a linear function. Date 2012 2013 2014 2015 2016 For each change of 1 year in time there is an increase of $ X in tuition. Find its formula. (Let d be the date in terms of number of years since 2012 and 7 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 d 1 2 3 4 1 4 T T 34 000 34 000 32 000 32 000 30 000 30 000 28 000 d 1 4 1 2 4 (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? Need Help? Read It Watch It
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