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 397.1 423.8 Year CO2 Emissions 338.5 364.5 2018 452.1 2020 2030 498.4 Year 2022 2024 2026 2028 CO₂ Emissions 557.2 592.9 628.7 662.1 707.1 741.7 (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) = 2032 (b) Find the model's estimate for the 2024 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.
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 397.1 423.8 Year CO2 Emissions 338.5 364.5 2018 452.1 2020 2030 498.4 Year 2022 2024 2026 2028 CO₂ Emissions 557.2 592.9 628.7 662.1 707.1 741.7 (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) = 2032 (b) Find the model's estimate for the 2024 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
2012
2014 2016 2018
2020
CO2 Emissions 338.5 364.5 397.1 423.8 452.1 498.4
Year
2010
Year
2022 2024 2026 2028 2030
CO2 Emissions 557.2 592.9 628.7 662.1 707.1
(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) =
2032
741.7
(b) Find the model's estimate for the 2024 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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