The constant value of the ratio between two quantities is known as the proportional relationship or constant of proportionality. The value of the proportional relationship depends on the proportion type given by the two quantities. These two quantities are direct variation and inverse variation.

To check whether two quantities are proportional or not, always find the ratio between them.

If the ratio is equal, then they are in a proportional relationship or constant of proportionality.

If two quantities are proportional to each other, they are defined as y = kx.

Here is an example to solve a problem on interpreting proportional relationships. Let’s look at the given example mentioned below to understand more about the concept.

Q.

Number of Days = x

3

6

9

Number of Articles = y

9

18

27

Interpret the Proportional Relationship for the above table.

Step 1: Apply the equation = y = kx.

Step 2: To find the constant of proportionality, find the ratio between the number of days by the number of articles.

K = y/x = 9 / 3 = 3, 18 / 6 = 3,...

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