What is the rule for the function shown in the table?

Question

x: -1 | 0 | 1 | 2
y: -2 | 1 | 4 | 7

A. y= 1/3x + 1
B. y=3x + 1
C. y= 1/3x
D. y= 1/3x + 1

Will someone please help and explain how I can work this out. I have trouble with these.

Answer 1

note that y grows by 3 when x grows by 1. That means you can start with

y = 3x

But since y(0)=1 instead of 3*0=0,

y = 3x+1

Answer 2

you better be right