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  3. VALUE OF IMPORTS TO AND EXPORTS FROM COUNTRY T, 2000-2009 Medium Question Which of the following is closest to the average (ar

VALUE OF IMPORTS TO AND EXPORTS FROM COUNTRY T, 2000-2009 Medium Question Which of the following is closest to the average (ar

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问题 VALUE OF IMPORTS TO AND EXPORTS FROM COUNTRY T, 2000-2009

Medium Question
Which of the following is closest to the average (arithmetic mean) of the 9 changes in the value of imports between consecutive years from 2000 to 2009 ?
选项 A、$260 million
B、$320 million
C、$400 million
D、$480 million
E、$640 million
答案E
解析 The average of the 9 changes in the value of imports between consecutive years can be represented as follows, where the function v(year) represents the value of imports for the indicated year.

Note that in the numerator of the fraction, each term, with the exception of v(2000) and v(2009), appears first as positive and then again as negative. The positive and negative pairs sum to 0, and the fraction simplifies to .
    Reading the values from the graph, you can approximate the value of the simplified fraction as0.644 billion dollars. The answer choice that is closest to $0,644 billion is $640 million. The correct answer is Choice E.
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