Final answer:
The relationship depicted is between frequency and wavelength of light, governed by the equation v = fλ showing inverse proportionality. A graph modeling the wavelength over time as the light source changes color should reflect this, meaning as frequency increases, wavelength decreases, and vice versa.
Step-by-step explanation:
The relationship between frequency (f) and wavelength (λ) of light can be represented by the equation v = fλ, where v represents the speed of light. This relationship implies that as the frequency of light increases, the wavelength must decrease to maintain the constant speed of light, indicating an inverse proportionality between them. Since the speed of light is constant in a vacuum, any change in frequency necessitates a reciprocal change in wavelength.
In the context of a graph representing this relationship over time, as a light source changes color (indicating a change in frequency), the corresponding wavelength graph would show the opposite trend. If frequency is increasing over time, the wavelength would decrease over time and vice versa. The correct wavelength graph, therefore, should show an inverse relationship to the frequency graph already completed by the student. Given that in a log-log plot this relationship often appears linear, the student should use such a scale if the frequency graph uses one.