ANSWER
First table.
EXPLANATION
The table that represents a linear function has a constant difference in both the x-values and the y-values.
As for the x-values, there is a constant difference of 1 for all the tables.
From, the first table, we can see that, the difference in y-values is:
[tex]1 - \frac{1}{2} = 1 \frac{1}{2} - 1 = 2 - 1 \frac{1}{2} = \frac{1}{2} [/tex]
For the second table,
[tex] \frac{1}{2} - 1 \ne \frac{1}{3} - \frac{1}{2} [/tex]
The third table too,
[tex]13 - 9 \ne \: 9 - 7[/tex]
The fourth table too,
[tex]16 - 6 \ne6 - 0[/tex]
Hence the choice is the first table.
