Question

Uma escala X apresenta para ponto de gelo 30 graus x e para ponto de vapor 80 graus x.
Quanto corresponde 50 graus x na escala Celcius?

Answer 1

$\large\boxed{\begin{array}{l}\sf\dfrac{t_X-30}{80-30}=\dfrac{t_C-0}{100-0}\\\\\sf \dfrac{t_X-30}{\diagdown\!\!\!\!\!50}=\dfrac{t_C}{\diagdown\!\!\!\!\!10\diagdown\!\!\!\!0_2}\\\sf t_X-30=\dfrac{t_C}{2}\\\sf t_C=2t_x-30\\\underline{\rm quando~a~escala~X~marcar~50^\circ~teremos:}\\\sf t_C=2\cdot 50-30\\\sf t_C=100-30\\\sf t_C=70^\circ C\end{array}}$