To see if a table of values represents a linear function, we must check if the data in the table has a constant rate of change.
From the table, let's find the table that has a constant rate of change.
TABLE A:
The difference of y-values,
y4 - y3 = -6 - (-2) = -6 + 2 = -4
y3 - y2 = -2 - (-6) = -2 + 6 = 4
y2 - y1 = -6 - (-2) = -6 + 2 = -4
(Inconsistent difference)
Therefore, TABLE A is not a linear function.
TABLE B:
The difference of y-values,
y4 - y3 = -14 - (-9) = -14 + 9 = -5
y3 - y2 = -9 - (-5) = -9 + 5 = -4
y2 - y1 = -5 - (-2) = -5 + 2 = -3
(Inconsistent difference)
Therefore, TABLE B is not a linear function.
TABLE C:
The difference of y-values,
y4 - y3 = -26 - (-18) = -26 + 18 = -8
y3 - y2 = -18 - (-10) = -18 + 10 = -8
y2 - y1 = -10 - (-2) = -10 + 2 = -8
(Consistent difference)
Therefore, TABLE C is a linear function.
The answer is CHOICE C.