Question

The temperature in fahrenheit scale is given by: "32 more than nine-fifth of the temperature in celcius". Frame an expression to validating the statement. Using the expression, convert $42°C$ in fahrenheit scale.

Answer 1

Let the temperature in celcius scale be C.
Nine-fifth of this temperature = $\frac{9C}{5}$
32 more than nine-fifth of this temperature = Temperature in fahrenheit (say F)
$\Rightarrow \frac{9C}{5}+32=F$
Therefore, to convert a temperature in celcius scale to fahrenheit scale, we use the formula:
$\frac{9C}{5}+32=F,\mathrm{where}C\mathrm{and}F\mathrm{are}\mathrm{readings}\mathrm{in}\mathrm{celcius}\mathrm{and}\mathrm{fahrenheit}\mathrm{scale}\mathrm{respectively}.$When C = 42,
$F=\frac{9\times 42}{5}+32\Rightarrow F=107.6F$