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County T collected a tax equal to 3 percent of the price of each home sold in the county in 2009. Approximately how much did Cou
County T collected a tax equal to 3 percent of the price of each home sold in the county in 2009. Approximately how much did Cou
admin
2018-12-14
15
问题
County T collected a tax equal to 3 percent of the price of each home sold in the county in 2009. Approximately how much did County T collect in taxes from all homes sold in 2009 ?
选项
A、$38,000
B、$260,000
C、$380,000
D、$2,600,000
E、$3,800,000
答案
E
解析
The total price of all the homes sold in 2009 is equal to the number of homes sold times the mean price of the homes sold. The tax is 3% of this amount. Since the choices given are far apart, there is no need for accurate computations. Using estimation, you get a total price of about(500)($250,000), or $125 million. The tax of 3% is(0.03)($125 million), or approximately $3.75 million. Of the choices given, $3,800,000 is closest to this amount. The correct answer is Choice E.
This explanation uses the following strategies.
Strategy 4: Translate from a Figure to an Arithmetic or Algebraic Representation
Strategy 9: Estimate
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