Ammonium Ion (NH₄⁺) Reacts with Nitrite Ion (NO₂^-) to Yield

Ammonium ion (NH₄⁺) reacts with nitrite ion (NO₂^-) to yield nitrogen gas and liquid water. The following initial rates of reaction have been measured for the given reactant concentrations. $\begin{array}{lccc}\text { Expt. \# } & {\left[\mathrm{NH}_{4}{ }^{+}\right]} & {\left[\mathrm{NO}_{2}{ }^{-}\right]} & \text {Initial rate }(\mathrm{M} / \mathrm{hr}) \\\hline 1 & 0.010 & 0.020 & 0.020 \\2 & 0.015 & 0.020 & 0.030 \\3 & 0.030 & 0.010 & 0.015\end{array}$ Which of the following is the rate law (rate equation) for this reaction

A) rate = k [NH₄⁺] [NO₂^-]⁴
B) rate = k [NH₄⁺] [NO₂^-]
C) rate = k [NH₄⁺] [NO₂^-]²
D) rate = k [NH₄⁺]² [NO₂^-]
E) rate = k [NH₄⁺]^1/2 [NO₂^-]^1/4