Draw the graph based on the following table and identify the variation. Find the constant of proportionality.

$\begin{matrix} x & 2 & 4 & 5 & 10 y & 40 & 20 & 16 & 8 \end{matrix}$

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Solution

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

(i) (2, 40), product of x and y is 80

(ii) (4, 20), product of x and y is 80

(iii) (5, 16), product of x and y is 80

(iv) (10,8), product of x and y is 80

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

The constant of proportionality is 80.

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Draw the graph based on the following table and identify the variation. Find the constant of proportionality. x24510y4020168

Draw the graph based on the following table and identify the variation. Find the constant of proportionality.

$\begin{matrix} x & 2 & 4 & 5 & 10 y & 40 & 20 & 16 & 8 \end{matrix}$