By computing the difference between consecutive y-values of the table, we can see that the one that represents a linear function is the first one (from the left).
How to identify the linear function?
A linear function is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Notice that if we evaluate this in x + 1, we get:
y = a*(x + 1) + b = (a*x + b) + a.
So for each increase of 1 unit in the x-variable, we must have an increase of a units in the y-variable.
So you need to see that the difference between the consecutive values of y on the tables is a constant. The only table that meets this condition is the first one, where the common difference is 0.5, so the table that represents a linear function is the first one (from the left).
If you want to learn more about linear functions, you can read:
https://brainly.com/question/4074386
