In 1993 a card company that sold 40 percent of the Mother’s Day cards that year priced its cards for that occasion between $1.00

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问题 In 1993 a card company that sold 40 percent of the Mother’s Day cards that year priced its cards for that occasion between $1.00 and $8.00 each. If the revenue from sales of the company’s Mother’s Day cards in 1993 was r million dollars, which of the following indicates all possible values of r ?

选项 A、155 B、93C、93D、62E、62

答案E

解析 According the table, 155 million Mothers Day cards were sold in 1993. The card company that sold 40 percent of the Mother’s Day cards sold(0.4)(155)million, or 62 million cards. Since that company priced the cards between $1.00 and $8.00 each, the revenue, r million dollars, from selling the 62 million cards was between($1.00)(62)million and($8.00)(62)million, or between $62 million and $496 million; that is, 62 < r < 496. Thus the correct answer is Choice E.
This explanation uses the following strategies.
Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation
Strategy 4: Translate from a Figure to an Arithmetic or Algebraic Representation
Strategy 8: Search for a Mathematical Relationship
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