23. Five marks exercise problems VIII

The function '$t$' which maps temperature in Celsius ($C$) into temperature in Fahrenheit ($F$) is defined by $t(C) = F$ where $F = \frac{9}{5}C + 32$. Find:

 

(i) $t(0)$ $=$ $^\circ F$

 

(ii) $t(28)$ $=$ $^\circ F$

 

(iii) $t(-10)$ $=$ $^\circ F$

 

(iv) the value of $C$ when $t(C) = 212$ $=$ $^\circ C$

 

(v) the temperature when the Celsius value is equal to the Fahrenheit value $=$ $^\circ C$