Coal Consumption The following table gives the amount of coal (in thousand short tons) consumed by U. S. utilities to pro- duce electricity. Source: U.S. Department of Energy. Year Consumption 1995 850 2000 986 2005 1037 2010 934 2012 825 (a) Plot the data by letting t be the years since 1990. Would a linear or quadratic function model these data best? (b) Find the quadratic function defined by f(t) = a(t – h)? + k that models the data. Use the highest point as the vertex, (h, k). Then choose (10, 986) as a second point to determine a.
Coal Consumption The following table gives the amount of coal (in thousand short tons) consumed by U. S. utilities to pro- duce electricity. Source: U.S. Department of Energy. Year Consumption 1995 850 2000 986 2005 1037 2010 934 2012 825 (a) Plot the data by letting t be the years since 1990. Would a linear or quadratic function model these data best? (b) Find the quadratic function defined by f(t) = a(t – h)? + k that models the data. Use the highest point as the vertex, (h, k). Then choose (10, 986) as a second point to determine a.
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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Transcribed Image Text:Coal Consumption The following table gives the amount of
coal (in thousand short tons) consumed by U. S. utilities to pro-
duce electricity. Source: U.S. Department of Energy.
Year
Consumption
1995
850
2000
986
2005
1037
2010
934
2012
825
(a) Plot the data by letting t be the years since 1990. Would a
linear or quadratic function model these data best?
(b) Find the quadratic function defined by f(t) =
a(t – h)? + k that models the data. Use the highest point
as the vertex, (h, k). Then choose (10, 986) as a second
point to determine a.
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