2000 AMC 10 第 4 题

先试着解答 2000 AMC 10 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 2000 AMC 10 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.

Chandra 向一家网络服务提供商支付固定月费,另按连接时长支付费用。她十二月的账单是 $12.48\$12.48;一月因为连接时间是十二月的两倍,账单为 $17.54\$17.54。固定月费是多少?
Chandra pays an on-line service provider a fixed monthly fee plus an hourly charge for connect time. Her December bill was $12.48,\$12.48, but in January her bill was $17.54\$17.54 because she used twice as much connect time as in December. What is the fixed monthly fee?
$2.53\$2.53
$5.06\$5.06
$6.24\$6.24
$7.42\$7.42
$8.77\$8.77
答案:D
知识点:方程组一次方程
小提示:
一月多出来的费用完全来自多用了一份十二月的连接时间。
The extra charge in January comes entirely from one additional December’s worth of connect time
大提示:
差额 $17.54−$12.48\$17.54 - \$12.48 就是十二月的连接时长费用。
The difference $17.54−$12.48\$17.54 - \$12.48 equals December’s connect-time cost
解答:
一月只有连接时间翻倍,所以账单增加的 $17.54−$12.48=$5.06\$17.54 - \$12.48 = \$5.06 就是十二月的连接时长费用。
因此固定月费是 $12.48−$5.06=$7.42\$12.48 - \$5.06 = \$7.42。
所以正确答案是 D。
January doubled only the connect time, so the increase $17.54−$12.48=$5.06\$17.54 - \$12.48 = \$5.06 equals December’s connect-time cost.
The fixed monthly fee is therefore $12.48−$5.06=$7.42.\$12.48 - \$5.06 = \$7.42.
Thus, the correct answer is D.
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