The following table shows fuel consumption in billions of gallons of all vehicles in the U.S. for years since 1990. Year Fuel Use 130.8 3 137.3 147.4 161.4 12 168.7 15 174.8 18 170.8 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. 175+ 170- 165- 160- 155- 150- 145- 140- 135- 130 12 15 d 125 Use the above scatter plot to decide whether the quadratic model fits the data well. The function is not a good model for the data The function is a good model for the data. Estimate the fuel consumption in the U. S. in 2014. billions of gallons. Use the model to predict the year in which U.S. fuel consumption will peak.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
icon
Related questions
Question
100%
The following table shows fuel consumption in billions of gallons of all vehicles in the U.S. for years since 1990.
Year
Fuel Use
130.8
3
137.3
147.4
161.4
12
168.7
15
174.8
18
170.8
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.
175+
170-
165-
160-
155-
150-
145-
140-
135-
130
12
15 d
125
Use the above scatter plot to decide whether the quadratic model fits the data well.
The function is not a good model for the data
The function is a good model for the data.
Estimate the fuel consumption in the U. S. in 2014.
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 Fuel Use 130.8 3 137.3 147.4 161.4 12 168.7 15 174.8 18 170.8 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. 175+ 170- 165- 160- 155- 150- 145- 140- 135- 130 12 15 d 125 Use the above scatter plot to decide whether the quadratic model fits the data well. The function is not a good model for the data The function is a good model for the data. Estimate the fuel consumption in the U. S. in 2014. billions of gallons. Use the model to predict the year in which U.S. fuel consumption will peak.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning