Question

Which table shows a proportional relationship between x and y?

Answer 1

The last one because y divide by x equals 5 for every single one

Answer 2

The last table shows a proportional relationship.

Explanation:

When a bunch of data has a proportional relationship, that means they have a constant ratio of change. In other words, when we divide each y-coordinate with its pair x-coordinate, the result will be always the same, and that happens only in the last case.

Let's divide

`(5)/(1)=5\\(10)/(2)=5\\ (25)/(5)=5\\(35)/(7)=5`

As you can see, each division from the last table give a constant ratio, that's why it's the right answer.

If you try with the other tables, you will find that they don't have a constant ratio. For example, let's take the first table and divide

`(15)/(1)=15\\(60)/(4)= 15\\(70)/(5)=14`

So, this table doesn't show a proportional relationship.

Therefore, the right answer is the last table.