Q:

Which table does NOT represent a linear function

Accepted Solution

A:
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 isx values: -1, 0, 1, 2- we add 1 each timey values: 8, 5, 2, -1- we subtract 3 each time[tex]\rule{200}{2}[/tex]Let's try the next one:x values: -1, 0, 1, 2- we add 1 each timey values: 5, 10, 15, 20- we add 5 each time[tex]\rule{200}{2}[/tex]Let's try the third one:x values: -1, 0, 1, 2- we add 1 each timey 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 timey values: 1, 2, 3, 4- we add 1 each timeThus, Option C is the right option.Hope everything is clear.Let me know if you have any questions!Always remember: Knowledge is power!