Question

Which table does NOT represent a linear function?

Answer 1

Hey there!
Linear functions have a continuous change.

Let's check these tables and see if we can tell linear functions from non-linear functions.

The first one is

• x values: -1, 0, 1, 2

- we add 1 each time

• y values: 8, 5, 2, -1

- we subtract 3 each time

$\rule{200}{2}$

Let's try the next one:

• x values: -1, 0, 1, 2

- we add 1 each time

• y values: 5, 10, 15, 20

- we add 5 each time

$\rule{200}{2}$

Let's try the third one:

• x values: -1, 0, 1, 2
• - we add 1 each time

• y values: 15, 18, 20, 21

        - we add 3, then 2, then 1..

So this table doesn't represent a linear function.

Let's check the fourth one:

• x values: -1, 0, 1, 2

- we add 1 each time

• y values: 1, 2, 3, 4

- we add 1 each time

Thus, Option C is the right option.

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!