hi I hope your doing great. will you kindly work the math =answer problem +x- (the long way)

To find the corresponding y value, put the value of x in the equation y=0.1x.
If by putting the x values from the table, we get the corresponding y values, then the table reprresent the equation y=0.1x.
Consider the x values in table G.
When x=5,
[tex]y=0.1x=0.1\times5=0.5[/tex]When x=10,
[tex]y=0.1x=0.1\times10=0.1[/tex]When x=15,
[tex]y=0.1x=0.1\times15=1.5[/tex]Similarly, when x=20, y=2.0 and when x=40, y=4.0.
So, the y values in table G satisfies the given equation.
Hence, option G is correct.