Question

If x and y are inversely proportional, find the values of $x_1,x_2,y_{1}and{y}_2$ in the table given below :

$\begin{array}{cccccc}x& 8& x_1& 16& x_2& 80\\ y& y_1& 4& 5& 2& y_2\end{array}$

Answer 1

$\because$ x and y are inversely proportional

$\therefore$ xy is equal

Now,

(i) $xy=16\times 5=808\times y_1=80\Rightarrow y_1=\frac{80}{8}=10x_1\times 4=80\Rightarrow x_1=\frac{80}{4}=20x_2\times 2=80\Rightarrow x_2=\frac{80}{2}=4080\times y_2=80\Rightarrow y_2=\frac{80}{80}=1$