Which table represents a linear function?

Third table

Step-by-step explanation:

In table 1, as the values of x increases the values of y first increase then decrease.

⇒It does not represent a function.

In table 2 , there is proportional relationship between variables but have rate of change is not constant.

Since for table 2, -5-(-2)=-3 and (-9)-(-5)=-4  [for one consecutive change in x]

⇒It does not represent a function.

For table 3, there is proportional relationship between variables and have  constant rate of change as -8.

-10-(-2)=-8,  -18-(-10)=-8 and  -26-(-18)=-8  [for one consecutive change in x]

⇒It represents a function.

For table 4, -4-(-2)=-2, -8-(-4)=-4

Thus it does not has constant rate of change.

⇒It does not represent a function.

B

Step-by-step explanation: