1997 AMC 8 第 4 题

先试着解答 1997 AMC 8 第 4 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 1997 AMC 8 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

4.

朱莉正在为班级准备演讲。她的演讲必须持续半小时到四分之三小时之间。理想语速是每分钟 150150 个词。如果朱莉按理想语速演讲,下列哪个词数适合作为她演讲的长度?
Julie is preparing a speech for her class. Her speech must last between one-half hour and three-quarters of an hour. The ideal rate of speech is 150150 words per minute. If Julie speaks at the ideal rate, which of the following number of words would be an appropriate length for her speech?
22502250
30003000
42004200
43504350
56505650
答案:E
知识点:速率单位换算
小提示:
把分钟数的上下界乘以每分钟 150150 个词
Multiply the minute bounds by 150150 words per minute
大提示:
把这段时间范围换算成分钟
Convert the time range into minutes
解答:
半小时是 3030 分钟,朱莉可以说 150⋅30=4500 150 \cdot 30 = 4500 个词。四分之三小时是 4545 分钟,她可以说 150⋅45=6750 150 \cdot 45 = 6750 个词。选项中唯一介于这两个数之间的是 56505650。
所以正确答案是 E。
One-half hour is 3030 minutes, in which Julie can speak 150⋅30=4500 150 \cdot 30 = 4500 words. Three-quarters of an hour is 4545 minutes, in which Julie can speak 150⋅45=6750 150 \cdot 45 = 6750 words. The only answer choice in between these two values is 5650.5650.
Thus, E is the correct answer.
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