The following table shows the number, in millions, graduating from high school in the United States in the given year.t After 1992, the number of high school graduates has increased each year. Year Number graduating (in millions) 1985 1987 1989 1991 Change in di Change in N 2.83 2.65 (a) By calculating differences, show that these data can be modeled using a linear function. (Let d be years since 1985 and N the number of graduating high school students, in millions.) 1985 to 1987 1987 to 1989 1989 to 1991 2.47 2.29 (b) What is the slope for the linear function modeling high school graduations? (Round your answer to two decimal places.) million per year Explain in practical terms the meaning of the slope. This means that each year -Select-- high school students graduated. (c) Find a formula for a linear function that models these data. (Let d be years since 1985 and N the number of graduating high school students, in millions.) N = (d) Express, using functional notation, the number graduating from high school in 1992. N( 1) Calculate that value. million Need Help? Master it

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 16E: High School Graduates The following table shows the number, in millions, graduating from high school...
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The following table shows the number, in millions, graduating from high school in the United States in the given year.t After 1992, the number of high school graduates has increased each year.
Year Number graduating (in millions)
1985
1987
1989
1991
(a) By calculating differences, show that these data can be modeled using a linear function. (Let d be years since 1985 and N the number of graduating high school students, in millions.)
1985 to 1987 1987 to 1989 1989 to 1991
Change in d
Change in N
2.83
2.65
2.47
2.29
(b) What is the slope for the linear function modeling high school graduations? (Round your answer to two decimal places.)
million per year
Explain in practical terms the meaning of the slope.
This means that each year --Select--- high school students graduated.
(c) Find a formula for a linear function that models these data. (Let d be years since 1985 and N the number of graduating high school students, in millions.)
N =
(d) Express, using functional notation, the number graduating from high school in 1992.
N(
1)
Calculate that value.
million
Need Help?
Master it
Transcribed Image Text:The following table shows the number, in millions, graduating from high school in the United States in the given year.t After 1992, the number of high school graduates has increased each year. Year Number graduating (in millions) 1985 1987 1989 1991 (a) By calculating differences, show that these data can be modeled using a linear function. (Let d be years since 1985 and N the number of graduating high school students, in millions.) 1985 to 1987 1987 to 1989 1989 to 1991 Change in d Change in N 2.83 2.65 2.47 2.29 (b) What is the slope for the linear function modeling high school graduations? (Round your answer to two decimal places.) million per year Explain in practical terms the meaning of the slope. This means that each year --Select--- high school students graduated. (c) Find a formula for a linear function that models these data. (Let d be years since 1985 and N the number of graduating high school students, in millions.) N = (d) Express, using functional notation, the number graduating from high school in 1992. N( 1) Calculate that value. million Need Help? Master it
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