Question

In countries like USA and Canada temperature is measured in Fahrenheit where as in countries like India, it is measured in Celsius. Here is a liner equation that converts Fahrenheit to Celsius $F=\left(\frac{9}{5}\right)C+32$

If the temperature is $0^0$C, what is the temperature in Fahrenheit and if the temperature is $0^0$F, what is the temperature in Celsius

• A. $-32F$ and ${17.7}^{0}C$
• B. $32F$ and ${17.7}^{0}C$
• C. $-32F$ and $-{17.7}^{0}C$
• D. $32F$ and $-{17.7}^{0}C$

Answer 1

The correct option is D $32F$ and $-{17.7}^{0}C$

$F=\left(\frac{9}{5}\right)C+32$

$\Rightarrow F={32}^0$

$0=\left(\frac{9}{5}\right)C+32$

$\Rightarrow 9C+160=0$

$\Rightarrow C=\frac{-160}{9}=-{17.7}^{0}C$