AMC 8 2006 Problem 10

AMC8 2006 年第 10 题

比与比例★★☆☆☆
Jorge's teacher asks him to plot all the ordered pairs (w, l) of positive integers for which w is the width and l is the length of a rectangle with area 12. What should his graph look like?
Jorget 的老师要求他画出所有的(w,l)正整数对,其中 w 和 l 分别是一个面积为 12 的矩形的宽和长。则他画的图应该是下面哪个?
  1. A.选项 A 图示
  2. B.选项 B 图示
  3. C.选项 C 图示
  4. D.选项 D 图示
  5. E.选项 E 图示

正确答案 · Correct Answer

A

解析 · Solution

Solution 1

The length of the rectangle will relate invertly to the width, specifically using the theorem l=12w\displaystyle l= \frac{12}{w}. The only graph that could represent a inverted relationship is. (The rest are linear graphs that don't represent indirect relationships, therefore they are correct.)

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