To determine which table shows a nonlinear relationship between x and y, we can analyze the given options:
A.
x: 1, 4, 5, 7
y: 12, 9, 8, 6
This relationship decreases as x increases, but not in a consistent linear fashion.
B.
x: 2, 4, 8, 16
y: 4, 4, 4, 4
This relationship is constant; hence it is linear.
C.
x: 1, 2, 3, 4
y: 5, 7, 9, 11
Here, y increases linearly as x increases.
D.
x: 2, 3, 4, 5
y: 3, 4, 6, 9
The values of y do not increase consistently; the differences between consecutive y values are increasing (1, 2, 3), indicating a nonlinear relationship.
Based on this analysis, the answer is:
D.