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?

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I have attached my answer to be compared with the 2 subparts. 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?

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: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)
a) Find the function rule for a linear function G(t) where t is the number of years since 2019 and G(t) is
the total greenhouse gasses emitted by the US. Your function should contain the points (0, 6558) and
(11, 3711).
tis known that the two poirt fomula a gven by
Obtain the linear function Git ehers , - .G ()and (a. .6558,. . a(1, 371).
Gu)-
G = -238. KI+08
Therelore, the inear function t is given by Gt--18 SIKS + 6558
b) Find the slope of your line and write a sentence that describes what the slope tells us about the rate
of change under this scenario.
From part a) the the linear function G(t) is given by G (1) = -258. 8182r + 6558.
Compare the function G (1) = -258. 81821 + 6558 with the slope intercept form y = mx + b where
slope is m.
Thus, the slope is given by -258.8182 that is the coefficient of of t.
Since the slope is negative the rate of change of total greenhouse gasses emitted by the Us
decreases as the year increases.
c) What greenhouse gas emissions does this function predict for 2020 and for 2025?
Since 2020 is 1 year since 2019,substitute 1 for t in G (?) = -258. 8182r + 6558.
G(1) = -258. 8182 (1) + 6558
= 6558 – 258. 8182
= 6299. 1818
Therefore, the greenhouse gas emissions predicted by the function for 2020 is 6299.
Since 2025 is 6 year since 2019,substitute 6 fort in G (?) = -258. 81821 + 6558.
G (6) = -258. 8182 (6) + 6558
= -1552. 9092 + 6558
= 6558 – 1552. 9092
= 5005. 0908
Therefore, the greenhouse gas emissions predicted by the function for 2025 is 5005.
Transcribed Image Text:a) Find the function rule for a linear function G(t) where t is the number of years since 2019 and G(t) is the total greenhouse gasses emitted by the US. Your function should contain the points (0, 6558) and (11, 3711). tis known that the two poirt fomula a gven by Obtain the linear function Git ehers , - .G ()and (a. .6558,. . a(1, 371). Gu)- G = -238. KI+08 Therelore, the inear function t is given by Gt--18 SIKS + 6558 b) Find the slope of your line and write a sentence that describes what the slope tells us about the rate of change under this scenario. From part a) the the linear function G(t) is given by G (1) = -258. 8182r + 6558. Compare the function G (1) = -258. 81821 + 6558 with the slope intercept form y = mx + b where slope is m. Thus, the slope is given by -258.8182 that is the coefficient of of t. Since the slope is negative the rate of change of total greenhouse gasses emitted by the Us decreases as the year increases. c) What greenhouse gas emissions does this function predict for 2020 and for 2025? Since 2020 is 1 year since 2019,substitute 1 for t in G (?) = -258. 8182r + 6558. G(1) = -258. 8182 (1) + 6558 = 6558 – 258. 8182 = 6299. 1818 Therefore, the greenhouse gas emissions predicted by the function for 2020 is 6299. Since 2025 is 6 year since 2019,substitute 6 fort in G (?) = -258. 81821 + 6558. G (6) = -258. 8182 (6) + 6558 = -1552. 9092 + 6558 = 6558 – 1552. 9092 = 5005. 0908 Therefore, the greenhouse gas emissions predicted by the function for 2025 is 5005.
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