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 2012 Average tuition $27,870 $29,004 $30,138 $31,272 $32,406 2013 2014 2015 2016 (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 $ Find its formula. (Let d be the date in terms of number of years since 2012 and T(d) = 32 000 (b) Plot the data points and add the graph of the linear formula you found in part (a). T T 30 000 28 000 O T 34 000 32 000 30 000 28 000 3 4 4 in tuition. d 34 000 32 000 30 000 T 34 000 32 000 tuition in dollars.) 30 000 28 000 1 2 3 WebAssign Plot 4 4 d d

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
2013
2014
2015
2016
(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 $
Find its formula. (Let d be the date in terms of number of years since 2012 and T tuition in dollars.)
T(d) =
NOTES for MOD pdf
(b) Plot the data points and add the graph of the linear formula you found in part (a).
T
32 000
30 000
28 000
$27,870
$29,004
$30,138
$31,272
$32,406
T
34000
32 000
30 000
28 000
in tuition.
2
d
34 000
32 000
30 000
T
34000
32 000
30 000
28 000
2
3
WebAssign Plot
4
d
d
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. Date Average tuition 2012 2013 2014 2015 2016 (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 $ Find its formula. (Let d be the date in terms of number of years since 2012 and T tuition in dollars.) T(d) = NOTES for MOD pdf (b) Plot the data points and add the graph of the linear formula you found in part (a). T 32 000 30 000 28 000 $27,870 $29,004 $30,138 $31,272 $32,406 T 34000 32 000 30 000 28 000 in tuition. 2 d 34 000 32 000 30 000 T 34000 32 000 30 000 28 000 2 3 WebAssign Plot 4 d d
2014
2015
2016
(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 $
Find its formula. (Let d be the date in terms of number of years since 2012 and T tuition in dollars.)
T(d) =
32 000
(b) Plot the data points and add the graph of the linear formula you found in part (a).
T
T
30 000
28 000
$30,138
$31,272
$32,406
T
34 000
32 000
30 000
28 000
1
1
2
2
3
3
4
d
34 000
32 000
in tuition.
30 000
34 000
32 000
30 000
28 000
1
1
2
2
3
3
4
4
d
(c) What prediction does this formula give for average tuition and fees at four-year American private universities for the academic year ending in 2017?
$
Transcribed Image Text:2014 2015 2016 (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 $ Find its formula. (Let d be the date in terms of number of years since 2012 and T tuition in dollars.) T(d) = 32 000 (b) Plot the data points and add the graph of the linear formula you found in part (a). T T 30 000 28 000 $30,138 $31,272 $32,406 T 34 000 32 000 30 000 28 000 1 1 2 2 3 3 4 d 34 000 32 000 in tuition. 30 000 34 000 32 000 30 000 28 000 1 1 2 2 3 3 4 4 d (c) What prediction does this formula give for average tuition and fees at four-year American private universities for the academic year ending in 2017? $
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