A student conducts an experiment to analyze a non-ohmic circuit element. Theoretical models suggest that the current \(I\) through the element and the potential difference \(V\) across it satisfy the relationship \(I = k V^2\), where \(k\) is a constant positive property of the element. To verify this model, the student wants to construct a linear graph of the experimental data. Which of the following correctly identifies the quantities that should be plotted to yield a straight line passing through the origin, and correctly describes how the resistance \(R = \dfrac{V}{I}\) of the element changes as the potential difference across it increases?