The following table gives the millions of metric tons of carbon dioxide emissions in a certain country for selected years from 2010 and projected to 2032. 2010 2012 2014 2016 2018 2020 338.5 361.5 396.1 422.8 452.1 497.4 Year CO2 Emissions Year 2022 2024 2026 2028 2030 2032 CO₂ Emissions 559.2 591.9 628.7 664.1 708.1 743.7 (a) Create a linear function that models these data, with x as the number of years past 2010 and y as the millions of metric tons of carbon dioxide emissions. (Round all numerical values to two decimal places.) y(x) = (b) Find the model's estimate for the 2028 data point. (Round your answer to two decimal places.) million metric tons. (c) Find the slope of the linear model. (Round your answer to two decimal places.) Interpret the slope of the linear model. For each year since ---Select--- + , carbon dioxide emissions in the U.S. are expected to change by million metric tons.

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 17E: Later High School Graduates This is a continuation of Exercise 16. The following table shows the...
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The following table gives the millions of metric tons of carbon dioxide emissions in a certain country for selected years from 2010 and projected to 2032.
2010 2012 2014 2016 2018 2020
452.1 497.4
Year
2022 2024 2026
2028
2030
CO2 Emissions 559.2 591.9 628.7 664.1 708.1
(a) Create a linear function that models these data, with x as the number of years past 2010 and y as the millions of metric tons of carbon dioxide emissions. (Round all numerical values to two decimal places.)
y(x) =
Year
CO2 Emissions 338.5 361.5 396.1 422.8
=
2032
743.7
(b) Find the model's estimate for the 2028 data point. (Round your answer to two decimal places.)
million metric tons
Interpret the slope of the linear model.
For each year since ---Select---
(c) Find the slope of the linear model. (Round your answer to two decimal places.)
carbon dioxide emissions in the U.S. are expected to change by
million metric tons.
Transcribed Image Text:The following table gives the millions of metric tons of carbon dioxide emissions in a certain country for selected years from 2010 and projected to 2032. 2010 2012 2014 2016 2018 2020 452.1 497.4 Year 2022 2024 2026 2028 2030 CO2 Emissions 559.2 591.9 628.7 664.1 708.1 (a) Create a linear function that models these data, with x as the number of years past 2010 and y as the millions of metric tons of carbon dioxide emissions. (Round all numerical values to two decimal places.) y(x) = Year CO2 Emissions 338.5 361.5 396.1 422.8 = 2032 743.7 (b) Find the model's estimate for the 2028 data point. (Round your answer to two decimal places.) million metric tons Interpret the slope of the linear model. For each year since ---Select--- (c) Find the slope of the linear model. (Round your answer to two decimal places.) carbon dioxide emissions in the U.S. are expected to change by million metric tons.
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