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

The Correct Answer would be C

Explanation:

Answer 2

Option C.

Explanation:

In a linear function, the change in y-values with respect to x-values is constant.

We need to find table from the given tables which represents a non-linear function.

In option A, x is increasing by 1 unit and y is decreasing by 1 unit. So, rate of change is constant.

In option B, x is increasing by 1 unit and y is decreasing by 1 unit. So, rate of change is constant.

In option C, x is increasing by 1 unit but y is not decreasing by same units. So, rate of change is not constant.

In option D, x is increasing by 1 unit and y is increasing by 1 unit. So, rate of change is constant.

Only in option C, the rate of change is not constant. So, it represents a non-linear function.

Therefore, the correct option is C.