Question

Select the table that represents a linear function. (Graph them if necessary)

Answer 1

The table that represents a linear equation is the one in option D.

x : 0 1 2 3

y: 6 12 18 24

Which table represents a linear function?

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:

brainly.com/question/1884491

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