The following table shows fuel consumption in billions of gallons of all vehicles in the U.S. for years since 1990. Year 0 3 175+ 170- 165- 160- 155- 150- Let F(t) be the fuel consumption in billions of gallons in t years since 1990. A quadratic model for the data is F(t) = -0.114t2 +4.62t + 127.598. & G 145 6 9 140 12 15 18 Fuel Use 130.8 137.3 147.4 161.4 168.7 174.8 170.8 135- 130 1254 is de Use the above scatter plot to decide whether the quadratic model fits the data well. The function is a good model for the data. The function is not a good model for the data Estimate the fuel consumption in the U. S. in 2015. billions of gallons. Use the model to predict the year in which U.S. fuel consumption will peak.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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The following table shows fuel consumption in billions of gallons of all vehicles in the U.S. for years since
1990.
Year
0
3
6
9
12
15
18
175+
170-
165-
160-
155-
150-
145
140-
Fuel Use
130.8
137.3
147.4
Let F(t) be the fuel consumption in billions of gallons in t years since 1990. A quadratic model for the data is
0.114t2 + 4.62t + 127.598.
F(t)
=
135-
130
1254
161.4
168.7
174.8
170.8
6
12
Use the above scatter plot to decide whether the quadratic model fits the data well.
The function is a good model for the data.
The function is not a good model for the data
Estimate the fuel consumption in the U. S. in 2015.
billions of gallons.
Use the model to predict the year in which U.S. fuel consumption will peak.
Transcribed Image Text:The following table shows fuel consumption in billions of gallons of all vehicles in the U.S. for years since 1990. Year 0 3 6 9 12 15 18 175+ 170- 165- 160- 155- 150- 145 140- Fuel Use 130.8 137.3 147.4 Let F(t) be the fuel consumption in billions of gallons in t years since 1990. A quadratic model for the data is 0.114t2 + 4.62t + 127.598. F(t) = 135- 130 1254 161.4 168.7 174.8 170.8 6 12 Use the above scatter plot to decide whether the quadratic model fits the data well. The function is a good model for the data. The function is not a good model for the data Estimate the fuel consumption in the U. S. in 2015. billions of gallons. Use the model to predict the year in which U.S. fuel consumption will peak.
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