Question

If x and y are directly proportional, find the values of (\x_1,~x_2~and~y_1)\ in the table

given below :

$\begin{array}{ccccc}x& 3& x_1& x_2& 10\\ y& 72& 120& 192& y_1\end{array}$

Answer 1

$\because$ x and y are directly proportional

$\therefore \frac{x}{y}=\frac{3}{72}=\frac{1}{24}$

$=\frac{x_1}{120}=\frac{1}{24}\Rightarrow x_1=\frac{120}{24}=5$

$\frac{x_2}{192}=\frac{1}{24}\Rightarrow x_2=\frac{192}{24}=8$

$\frac{10}{y_1}=\frac{1}{24}\Rightarrow y_1=24\times 10=240$