Question

Which table does not represent a proportional relationship? A 2-column table with 3 rows. Column 1 is labeled x with entries 9, 6, 3. Column 2 is labeled y with entries 3, 2, 1. A 2-column table with 3 rows. Column 1 is labeled x with entries 16, 18, 20. Column 2 is labeled y with entries 4, 4.5, 5. A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 18, 22. Column 2 is labeled y with entries 2, 3, 4. A 2-column table with 3 rows. Column 1 is labeled x with entries 5, 7, 9. Column 2 is labeled y with entries 10, 14, 18.

1. The table that does not represent a proportional relationship is  mathematically given as  the one with 12, 18, 22 Option 5

### What table does not represent a proportional relationship?

Generally, the equation for the first example is  mathematically given as
In the first example,
9-3=6 and 6-3=3
Since this is the case, the constant of proportionality is -3.
For the second one
3-1=2, 2-1=1
Therefore, the constant of proportionality in this situation is -1.
For the third
16+2=18, 18+2=20
The constant of proportionality is thus 2, as expected.
For the fourth one
4 + 0.5= 4.5
and 4.5+0.5= 5,
The proportionality constant is a value of 0.5
In conclusion, For the fifth one
12+6=18,
and 18+6=24
while the remaining things are all proportionate