Question

The function ${}^{\prime }{t}^{\prime }$ which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined by $t\left(c\right)=\frac{9C}{5}+32$. Find the value of $C$, when $t\left(C\right)=212.$

Answer 1

The given function is $t\left(c\right)=\frac{9C}{5}+32$.

Therefore,

It is given that $t\left(c\right)=212$

$\therefore 212=\frac{9C}{5}+32$

$\Rightarrow \frac{9C}{5}=212-32$

$\Rightarrow \frac{9C}{5}=180$

$\Rightarrow 9C=180\times 5$

$\Rightarrow C=\frac{180\times 5}{9}=100$

Thus, the value of $t$, when $t\left(c\right)=212$, is $100.$