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In 2010, there were four used-car dealers in City Z. The graphic shows the monthly sales data for 2010 for two of those dealers as well as the citywide average for used-car dealers for those months.
Based on the given information, use the drop-down menus to most accurately complete the following statements.

1. ABC Cars and XYZ Automotive accounted for ____half of all used-car sales in City Z for 2010.
2. In June 2010, the two used-car dealers that are not specified by the graphic sold a total of exactly _____ cars.
  • a)
    Less than, 23
  • b)
    Exactly, 52
  • c)
    More than, 46
  • d)
    Less than, 58
  • e)
    Exactly, 46
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In 2010, there were four used-car dealers in City Z. The graphic shows...
1. ABC Cars and XYZ Automotive accounted for_______half of all used-car sales in City Z for 2010.
Since the white circles (connected by blue lines) and the filled squares (connected by black lines) in the graph are consistently at or above the empty squares (connected by dotted lines), it follows that both ABC Cars and XYZ Automotive were at or above the citywide average for every single month in 2010. Thus their combined sales must have been greater than the combined sales of the two dealers not included in the graph. Therefore ABC Cars and XYZ Automotive must have accounted for more than half of all used-car sales in City Z in 2010.
The correct answer is more than.
2. In June 2010, the two used-car dealers that are not specified by the graphic sold a total of exactly______________cars.
In June 2010, the citywide average was 26 cars. This means that the four dealers sold a combined 4(26) = 104 cars. Of those 104 cars, ABC Cars sold 30 and XYZ Automotive sold 28. This implies that the other two dealers sold 104 − 30 − 28 = 46 cars.
The correct answer is 46.
 
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