1952 AMC 12 第 4 题

先试着解答 1952 AMC 12 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 1952 AMC 12 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.

邮寄包裹的费用为 CC 美分。包裹重 PP 磅,且 PP 是整数。第一磅收费 1010 美分,此后每增加一磅收费 33 美分。费用公式为:
The cost CC of sending a parcel post package weighing PP pounds, PP an integer, is 1010 cents for the first pound and 33 cents for each additional pound. The formula for the cost is:
C=10+3PC=10+3P
C=10P+3C=10P+3
C=10+3(P−1)C=10+3(P-1)
C=9+3PC=9+3P
C=10P−7C=10P-7
答案:C
知识点:钱币一次方程
小提示:
只有第一磅以后的重量才按每增加一磅的费率收费
Only the pounds after the first are charged at the additional-pound rate
大提示:
一个重 PP 磅的包裹有 P−1P-1 磅属于额外重量
A PP-pound package has P−1P-1 additional pounds
解答:
第一磅收费 1010 美分。其余 P−1P-1 磅收费 3(P−1)3(P-1) 美分,所以 C=10+3(P−1)。 C=10+3(P-1)\text{。}
因此,正确答案是 C。
The first pound costs 1010 cents. The remaining P−1P-1 pounds cost 3(P−1)3(P-1) cents, so C=10+3(P−1). C=10+3(P-1).
Thus, the correct answer is C.
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