Question

write the equation for the table given

x	y
1	3
2	6
3	9
4	12

options:
$y=\frac{1}{3}x$
$x=3y$
$y=3x$
$y=\frac{1}{2}x$

Explanation:

Step1: Test x=0, find y relation

When $x=0$, $y=0$, all equations fit.

Step2: Test x=1, check y value

For $x=1$, $y=3$. Test $y=3x$: $y=3(1)=3$, matches.

Step3: Verify with x=2

For $x=2$, $y=6$. $y=3(2)=6$, matches.

Step4: Verify with x=3

For $x=3$, $y=9$. $y=3(3)=9$, matches.

Step5: Verify with x=4

For $x=4$, $y=12$. $y=3(4)=12$, matches.

Answer:

y = 3x