Question

Is this a proportional relationship?3 26 49 612 815 10

Answer 1

Yes, this relationship is proportional

Step-by-step explanation

A proportional relationship has the equation:

`y=kx`

where k is called constant of proportionality.

To see if this relationship is proportional first we have to find k:

`k=(y)/(x)`

This constant, as the name itself describes, must be constant. This means that for each pair from the table we have to find the same number if we divide the y-value by the x-value.

For the first pair:

`k=(3)/(2)`

Second pair:

`k=(4)/(6)=(2)/(3)`

Note that we can simplify the fractions to get an equivalent one.

Third pair:

`k=(6)/(9)=(2)/(3)`

Fourth pair:

`k=(8)/(12)=(2)/(3)`

Fifth pair:

`k=(10)/(15)=(2)/(3)`

For each pair from the table we got the same constant. Therefore, this relationship is proportional.