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.
Explanation:
Recall that in a proportional relationship, one variable is always a constant value time the other.
The form of the proportional relationship is
[tex]y=kx[/tex]
The values x=5 and y=1 can be written as follows.
[tex]1=(\frac{1}{5})\cdot5[/tex]
Here we get k=1/5.
The values x=10 and y=2 can be written as follows.
[tex]2=(\frac{1}{5})\cdot10[/tex]
Here we get k=1/5.
The values x=15 and y=3 can be written as follows.
[tex]3=(\frac{1}{5})\cdot15[/tex]
Here we get k=1/5.
The values x=20 and y=4 can be written as follows.
[tex]4=(\frac{1}{5})\cdot20[/tex]
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.
