question is too big for one picture 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 tuition20122013201420152016(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).T32 00030 00028 000$27,870$29,004$30,138$31,272$32,406T3400032 00030 00028 000in tuition.2d34 00032 00030 000T3400032 00030 00028 00023WebAssign Plot4dd 201420152016(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).TT30 00028 000$30,138$31,272$32,406T34 00032 00030 00028 0001122334d34 00032 000in tuition.30 00034 00032 00030 00028 00011223344d(c) What prediction does this formula give for average tuition and fees at four-year American private universities for the academic year ending in 2017?$

The table shows the average yearly tuition and required fees. Date Average tuition 2012 $27,870…

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

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

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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High School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year. Year Number graduating in millions 1985 2.83 1987 2.65 1989 2.47 1991 2.29 a. By calculating difference, show that these data can be modeled using a linear function. b. What is the slope for the linear function modeling high school graduations? Explain in practical terms the meaning of the slope. c. Find a formula for a linear function that models these data. d. Express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.
Tuition at American Public Universities This is a continuation of Exercise 6. The following table shows the average yearly in-state tuition and required fees, in dollars, charged by four-year American public universities in the school year ending in the given year. Date Average tuition 2012 8318 2013 8595 2014 8872 2015 9149 2016 9426 a. Show that these data can be modeled by a linear function, and find its formula. b. What is the slope for the linear function modeling tuition and required fees for public universities? c. What is the slope of the linear function modeling tuition and required fees for private universities? Note: See Exercise 6. d. Explain what the information in parts b and c tells you about the rate of increase in tuition in public versus private institutions. e. Which type of institution shows the larger percentage increase from 2015 to 2016? 6. Tuition at American Private Universities The following table shows the average yearly tuition and required fees, in dollars, charged by four-year American private nonprofit universities in the school year ending in the given year. Date Average tuition 2012 27, 870 2013 29, 004 2014 30, 138 2015 31, 272 2016 32, 406 a. Show that these data can be modeled by a linear function, and find its formula. b. Plot the data points and add the graph of the linear formula you found in part a. c. What prediction does this formula give for average tuition and fees at four-year American private nonprofit universities for the academic year ending in 2021?
Later High School Graduates This is a continuation of Exercise 16. The following table shows the number, in millions, graduating from high school in the United States in the given year. Year Number graduating in millions 2001 2.85 2003 2.98 2005 3.11 2007 3.24 a. Find the slope of the linear function modeling high school graduations, and explain in practical terms the meaning of the slope. b. Find a formula for a linear function that models these data. c. Express, using functional notation, the number graduating from high school in 2008, and then calculate the value. d. The actual number graduating from high school in 1994 was about 2.52 million. Compare this with the value given by the formula in part b and with your answer to part of Exercise 16. Which is closer to the actual value? In general terms, what was the trend in high school graduations from 1985 to 2007? 16. High School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year.16 Year Number graduating in millions 1985 2.83 1987 2.65 1989 2.47 1991 2.29 a. By calculating difference, show that these data can be modeled using a linear function. b. What is the slope for the linear function modeling high school graduations? Explain in practical terms the meaning of the slope. c. Find a formula for a linear function that models these data. d. Express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.
6. Tuition at American Private Universities The following table shows the average yearly tuition and required fees, in dollars, charged by four-year American private nonprofit universities in the school year ending in the given year. Date Average tuition 2012 27,870 2013 29,004 2014 30,138 2015 31,272 2016 32,406 a. Show that these data can be modeled by a linear function, and find its formula. b. Plot the data points and add the graph of the linear formula you found in part a. c. What prediction does this formula give for average tuition and fees at four-year American private nonprofit universities for the academic year ending in 2021?