Is this proportional or non proportional and why

Given:

The table of values.

To find:

Whether the given relation in the table is proportional or non proportional.

Solution:

If y is directly proportional to x, then

Where, k is the constant of proportionality.

It means the ratio of y and x remains same for proportional relation.

From the given table, the points are (10,18), (11,18.6) and (12,19.2). The ratio of y to x for these points are:

Since the ratio of y to x for the given points are not equal, therefore the given relation is a non proportional relation.

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step-by-step explanation: