Which equation correctly represents the relationships of the variables?

The equation that accurately represents the relationships of the variables is one that conveys a balance among various components. In ecological contexts, this might relate to how resources, growth, and mortality factors interact.

The first option, which summarizes as R (resources) plus G (growth) equating to M (mortality) plus F (fecundity), reflects a fundamental ecological balance. This equation implies that the available resources and the growth of a population are balanced by the losses due to mortality and the additions from reproduction. This kind of balance is crucial in population dynamics and can help understand how populations stabilize over time under different environmental conditions and pressures.

The other options either lack necessary components or do not present a balance that is commonly observed in ecological equations. Hence, the first option stands out as a valid representation of the relationships among the variables involved in wildlife ecology.