Answer: Third table
Step-by-step explanation:
- A function is said to be linear if it has proportional relationship between the variables and has constant rate of change in dependent variable (y) with respect to independent variable (x).
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.
