Question

From the following table, identify the variation and also find the constant of proportionality.

$\begin{array}{cccccc}x& 2& 4& 5& 5& 10\\ y& 50& 25& 20& 12.5& 10\end{array}$

Answer 1

(i) (2, 50), product of x and y is 100

(ii) (4, 25), product of x and y is 100

(iii) (5, 20), product of x and y is 100

If the graph is in inverse proportion, then the product of x and y should be constant.

Since the product of x & y is constant, the graph is inversely proportional.

The proportionality constant is 100.