Based on the information given, which of the following statements about the sum

游客2025-02-23 18

问题 Based on the information given, which of the following statements about the sum of the prices of all the homes sold in a given year must be true?
Indicate all such statements.

选项 A、The sum of the prices for 2010 was greater than the sum for 2009.
B、The sum of the prices for 2010 was greater than the sum for 2011.
C、The sum of the prices for 2009 was greater than the sum for 2011.

答案 B，C

解析 For each year, the sum of the prices is equal to the number of homes sold times the mean price of the homes sold.
For 2010, the sum is equal to(351)($275,000), or $96,525,000.
For 2009, the sum is(503)($250,000), or $125,750,000, which is greater than the sum for 2010. So statement A is false.
For 2011, the sum is(390)($175,000), or $68,250,000, which is less than the sum for 2010. So statement B is true.
Since the sum for 2009 is greater than the sum for 2011, statement C is true.
The correct answer consists of Choices B and C.
This explanation uses the following strategy.
Strategy 4: Translate from a Figure to an Arithmetic or Algebraic Representation

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