The following table shows the number, in millions, graduating from high school in the United States in a given year.t Number graduating (in millions) 2.85 2.98 3.11 3.24 Year 2001 2003 2005 2007 (a) Find the slope of 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. The slope means that every year the number graduating increases vv by about million. (b) Find a formula for a linear function that models these data. (Let r be the number of years since 2001 and N the number in millions graduating. Round the values to two decimal places.) N = (c) Express, using functional notation, the number graduating from high school in 2012. N( Calculate that value. (Round your answer to two decimal places.) million students

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter3: Straight Lines And Linear Functions
Section3.3: Modeling Data With Linear Functions
Problem 17E: Later High School Graduates This is a continuation of Exercise 16. The following table shows the...
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The following table shows the number, in millions, graduating from high school in the United States in a given year.t
Number graduating (in millions)
2.85
2.98
3.11
3.24
Year
2001
2003
2005
2007
(a) Find the slope of 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.
The slope means that every year the number graduating increases vv by about
million.
(b) Find a formula for a linear function that models these data. (Let t be the number of years since 2001 and N the number in millions graduating.. Round the values to two decimal places.)
N =
(c) Express, using functional notation, the number graduating from high school in 2012.
N(
Calculate that value. (Round your answer to two decimal places.)
million students
(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 estimates using a formula derived
from the table below.
Year
Number graduating (in millions)
1985
2.83
1987
2.65
1989
2.47
1991
2.29
Estimated number of graduates using data from this table. (Round your answer to two decimal places.)
million students
Estimated number of graduates using formula derived in part (b). (Round your answer to two decimal places.)
million students
Transcribed Image Text:The following table shows the number, in millions, graduating from high school in the United States in a given year.t Number graduating (in millions) 2.85 2.98 3.11 3.24 Year 2001 2003 2005 2007 (a) Find the slope of 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. The slope means that every year the number graduating increases vv by about million. (b) Find a formula for a linear function that models these data. (Let t be the number of years since 2001 and N the number in millions graduating.. Round the values to two decimal places.) N = (c) Express, using functional notation, the number graduating from high school in 2012. N( Calculate that value. (Round your answer to two decimal places.) million students (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 estimates using a formula derived from the table below. Year Number graduating (in millions) 1985 2.83 1987 2.65 1989 2.47 1991 2.29 Estimated number of graduates using data from this table. (Round your answer to two decimal places.) million students Estimated number of graduates using formula derived in part (b). (Round your answer to two decimal places.) million students
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