请教GWD里的数学题~~谢谢~

kwwst · 发表于 2010-12-26 11:44:47

A certain quantity is measured on two different scales, the R-scale and the S-scale, that are related linearly.Measurements on the R-scale of 6 and 24 correspond to measurements on the S-scale of 30 and 60, respectively.What measurement on the R-scale corresponds to a measurement of 100 on the S-scale?

A.20
B.36
C.48
D.60
E.84
答案为C~~求解答，谢谢~~~

linzi1989 · 发表于 2010-12-26 11:58:37

意思不是太懂~~~可以这样考虑~~~想成坐标轴。
R-scale ：X轴
S-scale：Y轴
所以题目中2个点为（6，30），（24，60）
可以求得连接这两个点的直线为 Y=0.6X+20.
再将Y=100带入求得X=48
over~

kwwst · 发表于 2010-12-26 12:06:40

明白~~~thx~~

sdcar2010 · 发表于 2010-12-26 12:36:51

A certain quantity is measured on two different scales, the R-scale and the S-scale, that are related linearly.Measurements on the R-scale of 6 and 24 correspond to measurements on the S-scale of 30 and 60, respectively.What measurement on the R-scale corresponds to a measurement of 100 on the S-scale?

From the stimulus we know that an increase of 30 (from 30 to 60) on the S-scale corresponds to an increase of 18 (from 6 to 24) on the R-scale. Therefore, an increase of 40 on the S-scale would corresponds to an increase of 24 on the R-scale. Finally, an increase from 60 to 100 on the S-scale, which corresponds to an increase of 40, would correspond to an incease from 24 to 48 (24+24) on the S-scale.

The answer is 48.

请教GWD里的数学题~~谢谢~

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