Respuesta :

tricalc
To find the answer, look at the y values for all the tables.
We can see that the first table's y-values are increasing steadily by 1/2. This makes it a linear function.
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By checking the difference between consecutive y-values, we will see that the correct option is the first table.

How to know which table represents a linear function?

First, notice that in all the tables the difference between consecutive x-values is the same (1 for each case).

Then the difference between consecutive y-values must also be a constant.

If you go to the first table, the difference between the first two y-values is:

1 - 1/2 = 1/2.

Between the third and second values:

(1 + 1/2) - 1 = 1/2.

And so on, with this, we already can see that this table represents the linear function. While if you check this for the other 3 tables, you will see that the difference between consecutive terms is not constant.

If you want to learn more about linear functions, you can read:

https://brainly.com/question/4025726