Question

Which table of values represents a linear function? A xx yy minus, 3−3 minus, 5−5 minus, 1−1 minus, 2−2 11 11 33 55 B xx yy minus, 4−4 33 minus, 1−1 11 22 minus, 1−1 88 minus, 5−5 C xx yy 11 minus, 5−5 33 minus, 2−2 55 22 77 66 D xx yy minus, 3−3 33 minus, 1−1 00 22 minus, 3−3 55 minus, 6−6

Answer 1

Table A represents a linear function.

Table A:

x y

-3 -3

-5 -5

-1 -1

-2 -2

A linear function is described as a set of values that has a consistent rate of change between the independent and the dependent variable.

Since we have to identify the table representing a linear function, we look for consistent changes in the y-values relative to the x-values, we have;

Table A represents a linear function as the change in y-values is consistent for each change in x-values.

Example; x decreases by 1, y decreases by 1 consistently (e.g., (-3, -3), (-5, -5), (-1, -1), (-2, -2)).

The complete question:

Which table of values represents a linear function?

Table A:

x y

-3 -3

-5 -5

-1 -1

-2 -2

Table B:

x y

-4 33

1 -1

1 22

5 -5

Table C:

x y

5 -5

3 -2

5 22

7 66

Table D:

x y

-3 -3

1 -1

3 22

5 -6