Final answer:
The rate law for the reaction is rate = k [A]^2 [B].
Step-by-step explanation:
The rate law for the given reaction can be determined by analyzing the data in the table. To do this, we compare the initial concentrations of reactants ([A] and [B]) with their respective initial rates (IR). By doing this, we can determine the order of reaction with respect to each reactant.
In this case, the rate law is rate = k [A]^2 [B], which means the answer is (E) k [A]^2 [B].