Final answer:
An increase in the temperature difference between the inside and outside of the building will increase the energy loss because energy loss is driven by the difference in temperature.
Step-by-step explanation:
The question is asking which scenario would increase energy loss from a building. Of the options given, an increase in the temperature difference between the inside and outside of the building will increase the energy loss. This is because energy loss through building materials is driven by the temperature difference (also known as the ∆T) between the building's interior and exterior, with larger differences resulting in greater heat flow. An increase in R-value would decrease energy loss as it reflects better insulation. A decrease in the outdoor temperature would also generally lead to increased energy loss, but the question is asking about properties of the building itself, so the R-value and temperature difference are more directly relevant to the building's energy transference. A decrease in the energy flux would mean the building is losing less energy, not more.