When you watch TV, in the weather report, you will find that, in China/Hong Kong, we are using Celsius scale in measuring temperature. However, another scale ( Fahrenheit scale) is being used in USA.
Actually, these 2 scales have a linear relationship. Gixen:
Boiling point of water: 100℃ or 212℉
Melting point of ice: 0℃ or 32℉
Using X for readings in ℃ and Y for readings in ℉ , write out the equation
describing the relationship between X, Y.
One day, A RELATIVE IN NY told me, over the phone, that it was very hot
there and it measured 97℉ . Was his saying justifiable?
(Usually we feel very hot when the temperature reaches 33℃in HK)
數學唔識呀!!!!
2008-11-13 6:34 am
回答 (2)
2008-11-13 6:42 am
✔ 最佳答案
X = AY + CWhen X = 100 then Y = 212,
100 = A212+C
When X = 0 then Y = 32
0 = 32A + C
C = -32A
=> 100 = 212A -32A
=> A = 100/180 = 5/9
C = - 32* 5/9
C = -17.78
So
X = 5/9Y -17.78
When Y = 97 then
X = 5/9* 97 - 17.78
X = 36.1 which is more than 33
So his saying is justificable.
參考: CLOUDWAH - 獻醜
2008-11-21 1:57 am
X = AY + C
When X = 100 then Y = 212,
100 = A212+C
When X = 0 then Y = 32
0 = 32A + C
C = -32A
=> 100 = 212A -32A
=> A = 100/180 = 5/9
C = - 32* 5/9
C = -17.78
So
X = 5/9Y -17.78
When Y = 97 then
X = 5/9* 97 - 17.78
X = 36.1 which is more than 33
When X = 100 then Y = 212,
100 = A212+C
When X = 0 then Y = 32
0 = 32A + C
C = -32A
=> 100 = 212A -32A
=> A = 100/180 = 5/9
C = - 32* 5/9
C = -17.78
So
X = 5/9Y -17.78
When Y = 97 then
X = 5/9* 97 - 17.78
X = 36.1 which is more than 33
參考: RE:
收錄日期: 2021-04-13 16:16:04
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20081112000051KK02010