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) =
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)
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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![(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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F763a4f21-cd82-4596-bed4-a44e91945159%2F2de92e29-7ae0-4e3c-b368-ce611ac7392f%2F0ag5q9_processed.jpeg&w=3840&q=75)
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) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F763a4f21-cd82-4596-bed4-a44e91945159%2F2de92e29-7ae0-4e3c-b368-ce611ac7392f%2Fq6irh7o_processed.jpeg&w=3840&q=75)
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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