Answer:
Table a represent a proportional relationship
Table b represent a proportional relationship
Table c not represent a proportional relationship
Table d not represent a proportional relationship
Table e represent a proportional relationship
Table f not represent a proportional relationship
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
<u><em>Verify each table</em></u>
Find the value of the constant of proportionality k for each ordered pair
If all the values of k are equal, then the table represent a proportional relationship

<em>Table a</em>
For x=2, y=14 ----> 
For x=5, y=35 ----> 
For x=7, y=49 ----> 
For x=10, y=70 ----> 
All the values of k are equal
therefore
The table a represent a proportional relationship
<em>Table b</em>
For x=-10, y=50 ----> 
For x=-2, y=10 ----> 
For x=4, y=-20 ----> 
For x=14, y=-70 ----> 
All the values of k are equal
therefore
The table b represent a proportional relationship
<em>Table c</em>
For x=-1, y=-24 ----> 
For x=2, y=48 ----> 
For x=4, y=90 ----> 
For x=8, y=192 ----> 
All the values of k are not equal
therefore
The table c not represent a proportional relationship
<em>Table d</em>
For x=-6, y=12 ----> 
For x=-3, y=6 ----> 
For x=3, y=-6 ----> 
For x=6, y=-10 ----> 
All the values of k are not equal
therefore
The table d not represent a proportional relationship
<em>Table e</em>
For x=2, y=13.5 ----> 
For x=5, y=33.75 ----> 
For x=10, y=67.5 ----> 
For x=15, y=101.25 ----> 
All the values of k are equal
therefore
The table e represent a proportional relationship
<em>Table f</em>
For x=-4, y=-38 ----> 
For x=-1, y=-9.5 ----> 
For x=2, y=19 ----> 
For x=3, y=27 ----> 
All the values of k are not equal
therefore
The table f not represent a proportional relationship