Chemical Kinetics / Rate Question -- Error in Textbook Question/Answer?
The exercise is absurd. None of the proposed answers can be right, as for any answer A,B,C,D the rate is a function of the concentrations [XH4],[O2] but the table suggests that the rate is constant over time, e.g. 2.0$~$M/min for entry 1. Thus:

$$
R = 2.0~\text{M/min} = \text{constant} \cdot [\mathrm{XH_4}]^0 \cdot [\mathrm{O_2}]^0
$$
and is therefore a zeroth order kinetics.

I assume that the initial rate $R_0$ or a rate at some point $R_{t&gt;0}$ is meant, and the question just heavily confuses things. So from here on, let's assume that $R$ means some rate at some point in time.

But even then, it is not possible to answer the question. This is because entries 3 and 4 have the same domain ([XH4] and [O2]) but a different codomain (different rates R). This means that there is no function mapping from the concentration of the reactants to the rate of the reaction.

However, there obviously is such a functional relation for all answers A,B,C,D.

Therefore, the question is absurd. It is probably meant to be that [O2] is 2.0 in entry 4.