Which table could be a partial set of values for a linear function?

Answer:
Option 1.
Step-by-step explanation:
In a linear function, the rate of change is constant.
[tex]\text{Rate of change }=\dfrac{Rise}{Run}=\dfrac{\text{Change is y}}{\text{Change in x}}[/tex]
From the first table it is clear that the value of y increased at a constant rate.
If the value of x increased by 1 unit, then the value of y increased by 2 units.
[tex]\text{Rate of change }=\dfrac{2}{1}=2[/tex]
Only table 1 represents the constant rate of change, it means table 1 is a partial set of values for a linear function.
Therefore, the correct option is 1.