Answer: Yes there is a direct proportional relationship between x and y.
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Step-by-step explanation:
Direct proportional relationship equations are of the form y = kx
In the first row we have x = 3 and y = 2 pair up. So if y = kx, then,
y = kx
2 = k*3
2/3 = k
k = 2/3
Making the equation y = (2/3)x
Let's try the second row with this new equation. Plugging in x = 6 should lead to y = 4
Let's find out
y = (2/3)x
y = (2/3)*6
y = (2/3)*(6/1)
y = (2*6)/(3*1)
y = 12/3
y = 4
So this verifies the second row. The third row will be similar
y = (2/3)x
y = (2/3)*9
y = 6
I'll let you verify the fourth row. You should find that x = 12 leads to y = 8