Remember that to tell if a function is linear for a table, you should look for a constant rate of change, and the only function that has a constant rate of change is the first one. 
is increasing by 1, and 
is increasing by 0.5.
Now that we know that, lets find the equation of our table.
First, lets take tow points from our table: (1,
) and 
.
Next, use the slope formula:
We know for our points that
, 
,
, and 
, so lets replace those point in our formula to find 
:
Finally, we can use the point slope formula
to find our equation:
We can conclude that the first table represents a linear function, and its equation is
Now that we know that, lets find the equation of our table.
First, lets take tow points from our table: (1,
Next, use the slope formula:
We know for our points that
Finally, we can use the point slope formula
We can conclude that the first table represents a linear function, and its equation is
