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

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

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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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

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?
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Read It
Watch It

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