Given:
We get the points (5,1), (10, 2), (15,3), and (20, 4) from the table.
Required:
We need to check the relation of the given table.
Step-by-step explanation:
Recall that in a proportional relationship, one variable is always a constant value time the other.
The form of the proportional relationship is

The values x=5 and y=1 can be written as follows.

Here we get k=1/5.
The values x=10 and y=2 can be written as follows.

Here we get k=1/5.
The values x=15 and y=3 can be written as follows.

Here we get k=1/5.
The values x=20 and y=4 can be written as follows.

Here we get k=1/5.
There is a common constant k=1/5.
The table represents the proportional relationship.
Final answer:
The table represents the proportional relationship.