[問題]GWD-11-10

[marco]

Q10:
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
Answer: C
各位大大,不好意思,打擾了...這一題我看不懂ㄋㄟ~~SOS

[micht]

設 R scale=X-axis
S scale=Y-axis

題中給出兩點 (6,30)(24.60)
slope=(30-60)/(6-24)=5/3

代一點(6,30)求得b

y=5/3x+b
y=5/3x+20

What measurement on the R-scale corresponds to a measurement of 100 on the S-scale?
問 (x,100) x為何? S scale=100 (也就是y=100時 R scale為何(x=?) )

100=5/3x+20
x=48

[marco]

了解~~謝謝喔~~

[kenlo2006]

嗨各位高手
請問題目中 that are related linearly 一定是指兩座標相交(intersect)嗎? 可否為平行呢 ?
Q10:
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?

如平行答案可以這樣算嗎==> [(24-6) / (60-30)] *100 = 60 ??

謝謝

[Ace]

嗨各位高手
請問題目中 that are related linearly 一定是指兩座標相交(intersect)嗎? 可否為平行呢 ?
Q10:
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?

如平行答案可以這樣算嗎==> [(24-6) / (60-30)] *100 = 60 ??

謝謝

原題已說related linearly
所以本題只牽涉到一條線
那條線就是由(6,30)(24,60)所形成
我想跟平行沒關係

[kenlo2006]

好, 多謝

[Pooh0122]

好清楚 真是高手啊

[hippo3333]

為什麼兩點座標是( 6 30 ) (24 60)不是( 6 24 ) ( 30 60 )

[FrankChang]

為什麼兩點座標是( 6 30 ) (24 60)不是( 6 24 ) ( 30 60 )

Measurements on the R-scale of 6 and 24 correspond to measurements on the S-scale of 30 and 60,
6對映到30,24對映到60,
6與24都同屬一個scale上,無所謂對應關係

[chris8888]

看到大家討論覺得超簡單到爆.

但是沒看過的英文題目敘述方式, 還真給他想不出來ETS到底要說什麼?

[chris8888]

另外如果把R and S的順序弄顛倒, R為Y-axis, S is X-axis

仍可求出48

[julanlu808]

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?

我想請問紅色部份要如何翻成中文呢...因為我怎麼也想不到要用座標解...

請各位幫幫忙~~

感激不盡了!!

[aiweiwei]

我跟julanlu808一樣看到題目時想也沒想到要用座標解,可以請大家告訴我們什麼樣的狀況是可以直接連想用座標解呢?
感謝大家