The following table shows the number, in millions, graduating from high school in the United States in the given year.† After 1992, the number of high school graduates has increased each year.YearNumber graduating (in millions)19852.8319872.6519892.4719912.29(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 19871987 to 19891989 to 1991Change in d Change in N (b) What is the slope for the linear function modeling high school graduations? (Round your answer to two decimal places.) million per yearExplain in practical terms the meaning of the slope.This means that each year ---Select--- more fewer 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( )Calculate that value. million

Answered: he following table shows the number, in…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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The following table shows the number, in millions, graduating from high school in the United States in the given year.† After 1992, the number of high school graduates has increased each year.

Year	Number graduating (in millions)
1985	2.83
1987	2.65
1989	2.47
1991	2.29

(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

(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--- more fewer 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( )

Calculate that value.
million

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