Question

If x = 1, 2, 3, 4, . . . which pattern of y-values completes a linear function?

A y = 0, 1, 8, 27, . . .

B y = 1, 2, 4, 7, . . .

C y = 1, 3, 9, 27, . . .

D y = 2, 5, 8, 11, . . .

Answer 1

The answer for the question above is the option D, which is: D y=2, 5, 8, 11,...
The explanation for this answer is shown below:
As you can see, the option D, y=2, 5, 8, 11,...increase with a constant factor of 3, and the other options do not increase with a constant factor, therefore, they are not linear functions.
Finally, keeping the information above on mind, you have that the linear function is the following: f(x)=3x-1.