Answer:
The last table shows a proportional relationship.
Step-by-step 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
[tex]\frac{5}{1}=5\\\frac{10}{2}=5\\ \frac{25}{5}=5\\\frac{35}{7}=5[/tex]
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
[tex]\frac{15}{1}=15\\\frac{60}{4}= 15\\\frac{70}{5}=14[/tex]
So, this table doesn't show a proportional relationship.
Therefore, the right answer is the last table.
