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27 Dec 2023, 10:10
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Dropdown 1: 106.11%
Dropdown 2: 94.24%
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
48% (02:56) correct
52%
(02:57)
wrong
based on 316
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Data Insights (DI) Butler 2023-24 [Question #168, Date: Dec-22-2023] [Click here for Details]
The graph shows the annual percent change in U.S. greenhouse gas emissions.
Based on the given information, fill in the blanks in each of the following statements.
1. U.S. emissions in 1996 were of U.S. emissions in 1993.
2. U.S. emissions in 1993 were of U.S. emissions in 1996.
Attachment:
11.jpg [ 43.65 KiB | Viewed 4950 times ]
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Official Answer
Dropdown 1: 106.11%
Dropdown 2: 94.24%
22 Jan 2024, 22:07
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Official Explanation
Pick the number 100 to represent the value of U.S. emissions in 1993. Then, in 1994, U.S. emissions were:
100+100*1.5% = 101.5
Next, the 1995 emissions were:
101.5+101.5*1.3% = 102.8195
The 1996 emissions were:
102.8195+102.8195*3.2% = 106.109724
So, rounded to two decimal places, emissions in 1996 were 106.11% of emissions in 1993. Note that it’s best not to round until the very end in a question like this.
The correct answer is (E).
You did much of the work already in Question I above when you calculated that, if emissions in 1993 were 100, then emissions in 1996 were 106.1097. Now, let the 1993 emissions be x percent of the 1996 emissions. Thus:
100=x%(106.1097)
\(x=\frac{100}{106.1097}(100)\)
\(x=94.24\)
The correct answer is (B).
Pick the number 100 to represent the value of U.S. emissions in 1993. Then, in 1994, U.S. emissions were:
100+100*1.5% = 101.5
Next, the 1995 emissions were:
101.5+101.5*1.3% = 102.8195
The 1996 emissions were:
102.8195+102.8195*3.2% = 106.109724
So, rounded to two decimal places, emissions in 1996 were 106.11% of emissions in 1993. Note that it’s best not to round until the very end in a question like this.
The correct answer is (E).
You did much of the work already in Question I above when you calculated that, if emissions in 1993 were 100, then emissions in 1996 were 106.1097. Now, let the 1993 emissions be x percent of the 1996 emissions. Thus:
100=x%(106.1097)
\(x=\frac{100}{106.1097}(100)\)
\(x=94.24\)
The correct answer is (B).
General Discussion
