Answer:
y = 8/x
Explanation:
The rule that describes a nonlinear function is [y = 8/x.]
A nonlinear function is a mathematical function that does not have a constant rate of change. In other words, as you move along the graph of a nonlinear function, the rate of change is not constant.
In this case, the function y = 8/x is nonlinear because the rate of change of y with respect to x is not constant. For example, when x is small, y takes large values, but when x is large, y takes small values. This type of relationship is not linear and therefore it is nonlinear.
The other rules are linear functions. The rule x + y = 100 can be rearranged to y = -x + 100, which is a linear function. The rule 9 = 11x - y can also be rearranged to y = 11x - 9, which is a linear function. Finally, the rule x = y represents a line with slope 1 passing through the origin, which is also a linear function.