Answer:
The value in the table that makes the quantities proportional to one another is y = 3
Step-by-step explanation:
Two quantities x and y are proportional one to another if they can be expressed as
y = kx
where k is the constant of proportionality. We can find k using an specific point. Take the first one
y = kx
k= y/x with (3.1 )
k= 1/3
So
y =1/3x for this case
If the two quantities are proportional, this rule must be true for any point (x,y) . Lets prove it
Point 2 (6,2)
2 =1/3*(6)
2= 2 True
Point 4 (12,4)
4 =1/3*(12)
4= 4 True
So to accomplish the rule in point 3, and finally in all table we must have that
y =1/3x is true for Point 3 (9,y) Then
y = 1/3 (9) = 9/3 = 3
y= 3
Y must be 3
