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Question
The normal boiling point of water is 100°C or 212°F and the freezing point of water is 0°C or 32°F. Find the linear relationship between C and F
Solution
Choose Celsius degree along the x-axis and Fahrenheit degree along the y-axis.
Given a Freezing point in Celsius = 0°C
The freezing point in Fahrenheit degree = 32°F
∴ The Freezing point is (0°, 32°)
Also given Boiling point in Celsius = 100°C
The boiling point in Fahrenheit = 212°F
∴ The Boding point is (100°, 212°)
Let C denote the Celsius degree and F denote the Fahrenheit degree.
The equation of the path connecting the freezing point (0°, 32°) and the boiling point (100°, 212°) is
`("C" - 0)/(100 - 0) = ("F" - 32)/(212 - 32)`
`"C"/100 = ("F" - 32)/180`
`"C"/5 = ("F" - 32)/9`
C = `5/9("F" - 32)` .......(1)
Which is the required relation connecting C and F.
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