1 Answer

Cnst · Answer 1 · 2022-10-07T15:23:21+0000

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

$y\propto x$

y=kx

(y)/(x)=k

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:

(18)/(10)=1.8

$(18.6)/(11)\approx 1.69$

(19.2)/(12)=1.6

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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