The table that represents a linear equation is the one in option D.
x : 0 1 2 3
y: 6 12 18 24
For a linear function, we should see that for similar increases in the x-variable, we should get similar increases/decreases on the y-variable.
So, if you look at the first table:
x: 0, 1, 2, 3
y = 3, 2, 0, 1
As you can see, the x-variable increases by 1 unit.
The y-variable first decreases by 1 unit, then decrease by 2 units, then increases by 1 unit. So this can't be a linear function.
Now, the table that represents a linear function is the last one:
x : 0 1 2 3
y: 6 12 18 24
Where we can see that for each increase of 1 unit in the x-variable, we have an increase of 6 units in the y-variable.
Such that the linear equation is:
y = x*6 + 6.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
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