D) Compare the predicted change in greenhouse gas emissions between 2020 and 2025 to the change between 2025 and 2030? During which five-year period is the predicted change greater and by how much or is it the same in the two time periods? E) During what year does this function rule predict that the US emission of greenhouse gasses will decrease to 1000 million metric tons of carbon dioxide equivalents?
D) Compare the predicted change in greenhouse gas emissions between 2020 and 2025 to the change between 2025 and 2030? During which five-year period is the predicted change greater and by how much or is it the same in the two time periods? E) During what year does this function rule predict that the US emission of greenhouse gasses will decrease to 1000 million metric tons of carbon dioxide equivalents?
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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Question
My work has been attached and the chart. Need to understand side parts D and E.
D) Compare the predicted change in greenhouse gas emissions between 2020 and 2025 to the change between 2025 and 2030? During which five-year period is the predicted change greater and by how much or is it the same in the two time periods?
E) During what year does this function rule predict that the US emission of greenhouse gasses will decrease to 1000 million metric tons of carbon dioxide equivalents?

Transcribed Image Text:U.S. Greenhouse Gas Emissions by Economic Sector,
1990-2019
8.000
6,c00
4,000
2,000
1990
1995
2000
2005
2010
2015
2019
Year
Transportation
Electricity generation
Industry
Agriculture
Commercial
Residential
US. territories
Source. U.S. EWa Invertory of US. Greenheune G Emaoro and Sinks. 1900-2019.
htps www.epa.pov/gtomsomireniery-n-greeshouie-gis-emissisra-and-airks
Emissions (million metric tons of
carbon diaxide equivalent)

Transcribed Image Text:Let the decay function be defined as E(t)=ab^t, where aa is the gas emitted
when t=0t=0 and b is the decay factor.
The graph of this function passes through the points (0, 6558), (11, 3711).
Hence, it can be written that E (0) =6558 and E (11) = 3711.
Solve the equation, E (0) =6558 to calculate the value of a.
E (0) = 6558
ab0=6558
a=6558
Solve the equation, E (11) =3711 to calculate the value of b.
E(D) =3711
6558b^11=3711
B^11=3711 /6558
b= (1237 / 2186) t/11
= (0.5659) t/11
Hence, the function is E(t)=6558(0.5659) ^ t/11, where ț is the number of years since 2019.
The decay factor, b= (0.5659)b=0.5659^111. It is known that b=1-r, where r is the decay rate.
Calculate r as follows.
b= (0.5659) 1/11
* 0. 9496
1=r*0 9496
R~1- 0.9496
= 0. 0504
= 5.04%
Hence, the decay rate is about 5.04%. It implies that the rate of emission is decreasing at the
rate of about 5.04%.
For the year 2020. the value of t is 2020 - 2019 = 1. Substitute / = 1 in the equation,
E(0) = 6558(0. 5659) t/11 to calculate E (1).
%3D
E (0) =6558(0. 5659) t/11
E(1) =6558(0. 5659) t/11
= 6227. 2056
Hence, the emission is about 6227.2056 million metric tons for the year 2020.
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