# Temperature Scale

Three common temperature scales are (i) Celsius - C (ii) Kelvin - K and (iii) Fahrenheit - F. The formulas for converting one temperature scale to another are \begin{align} F=32+\frac{9}{5}C \end{align} \begin{align} K=C+273.15 \end{align} Note that freezing point of water on three temperature scales is 0 deg C, 32 deg F and 273 deg K. The boiling point of water on three temperature scales is 100 deg C, 212 deg F and 373 deg K.

The normal temperature of human body on three temperature scales is 37 deg C, 98.4 deg F and 310 deg K.

The temperature 301.4 deg C is 574.6 deg F and 574.6 deg K (its value is same on the Fahrenheit as well as Kelvin scale).

## Problem

In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius: \begin{align} F=\left(\frac{9}{5}\right)C+32 \end{align}

1. Draw the graph of the linear equation above using Celsius for $x$-axis and Fahrenheit for $y$-axis.
2. If the temperature is 30 deg C, what is the temperature in Fahrenheit?
3. If the temperature is 95 deg F, what is the temperature in Celsius?
4. If the temperature is 0 deg C, what is the temperaure in Fahrenheit and if the temperature is 0 deg F, what is the temperature is Celsius?
5. Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.