Question

The Celsius scale is devised so that 0° C is the freezing point of water (at 1 atmosphere of pressure) and 100°C is the boiling point of water (at 1 atmosphere of pressure). If you are more familiar with the Fahrenheit scale, then you know that water freezes at 32°F and boils at 212° F. The linear equation that relates temperature r measured in degrees Celsius and temperature y measured in degrees Fahrenheit is​

Answer 1

`r=(5)/(9)(y-32)`

Explanation:

The Celsius scale was developed by Swedish astronomer Andres Celsius in 1742. It is used to measure temperature in degree Celsius in which 0 degrees represents the freezing point of water, and 100 degrees represents boiling point of water at the standard atmosphere.

The Fahrenheit scale was proposed in 1724 by the physicist Daniel Gabriel Fahrenheit. It is used to measure temperature in degree Fahrenheit in which 32°F represents the freezing point of water, and 212°F represents boiling point of water at the standard atmosphere.

Let r represent the temperature in degrees Celsius and y represent the temperature in degree Fahrenheit. The relationship between r and y is:

`(r-freezing\ point(^oC))/(boiling\ point\ (^oC)-freezing\ point(^oC)) =(y-freezing\ point(^oF))/(boiling\ point\ (^oF)-freezing\ point(^oF)) \\\\Substituting:\\\\(r-0)/(100-0)=(y-32)/(212-32)\\\\(r)/(100) =(y-32)/(180)\\\\r= (y-32)/(180)*100\\\\r=(5)/(9)(y-32)`