Question

What is the constant of proportionality shown in the graph

Answer 1

The constant of proportionality represented by K will be 1/3 which is shown in the given graph.

What is the constant of proportionality?

Firstly, there is a proportional relationship.

Two values x  and y are said to be in a proportional relationship if x = ky, where x and y are variables and k is a constant.

The constant k is called the constant of proportionality.

The proportional relationship between x and y can be written symbolically as

$x \propto y$

That middle sign is called a sign of proportionality.

In the given graph x line and y line have been graphed.

Since the relation between them has been represented by a straight line, so their relationship can be represented by

x = K × y

where K is the proportionality constant.

Now K = $\dfrac{x}{y}$

           = $\dfrac{2}{6}$

          =  1/3

therefore, the constant of proportionality will be 1/3.

Learn more about proportionality ;

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