Question

Which of these tables represents a non-linear function? A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 20, 19, 18, 17. A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries negative 16, negative 17, negative 18, negative 19. A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries negative 20, negative 19, negative 18, negative 17.

Answer 1

third one

Explanation:

its constant and increasing the other ones are not constant but increase

Answer 2

Third option

Explanation:

In linear functions, if we take two any points (x1, y1) and (x2, y2), the next relationship must be satisfied: (y2- y1)/(x2 - x1) = constant

The third option is:

x | y

17 | 16

18 | 17

19 | 19

20 | 20

Taking the points of the previous table, we get:

(17-16)/(18-17) = 1

(19-17)/(19-18) = 2

(20-19)/(20-19) = 1

which is not constant for all points. Then, the relationship is not linear.