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 $27,870 $29,004 $30,138 $31,272 $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) =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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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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(b) Plot the data points and add the graph of the linear formula you found in part (a).
T
T
34 000
32 000
30 000
T
34 000
32 000
30 000
28 000
1 2 3
Need Help? Read it
1
2 3
Watch It
4
4
d
d
32 000
30 000
28 000
T
34000
O
32 000
30 000
28 000
1. 2
3
4
1 2 3 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 2025?
$
d
Transcribed Image Text:(b) Plot the data points and add the graph of the linear formula you found in part (a). T T 34 000 32 000 30 000 T 34 000 32 000 30 000 28 000 1 2 3 Need Help? Read it 1 2 3 Watch It 4 4 d d 32 000 30 000 28 000 T 34000 O 32 000 30 000 28 000 1. 2 3 4 1 2 3 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 2025? $ d
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
$27,870
$29,004
$30,138
$31,272
$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) =
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 $27,870 $29,004 $30,138 $31,272 $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) =
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