Question

If the temperature of a liquid can be measured in Kelvin units as $xK$ or in Fahrenheit units as $yF$, the relation between the two systems of measurement of temperature is given by the linear equation

$y=\frac{9}{5}(x-273)+32$

If the temperature is $158F$, then find the temperature in Kelvin.

• A. $150$
• B. $473$
• C. $273$
• D. None of these

Answer 1

The correct option is D None of these

Given, $y=\frac{9}{5}(x-263)+32$

Also given, $y=158F$, we need to find $x$.

$158=\frac{9}{5}(x-273)+32$

$\Rightarrow 790=9x-2457+32$

$\Rightarrow 9x=3215$

$\Rightarrow x=357$ Kelvin