To determine which change will increase the energy loss of a building, we can evaluate each option based on principles of heat transfer.
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A decrease in the energy flux (W/m²) of the building - This would decrease energy loss, not increase it.
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An increase in temperature difference between the inside and outside of the building - This would increase energy loss. The greater the temperature difference, the higher the rate of heat transfer from the warmer area to the cooler area.
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An increase in the R-value for the insulation materials used in the building - Higher R-value means better insulation, which would decrease energy loss.
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A decrease in the temperature of the outside of the building - This would actually increase the temperature difference if the inside temperature remains constant, potentially increasing energy loss. However, the specific context of how much the temperature changes would be necessary to fully assess the result.
Based on the above evaluations, the correct response that will increase the energy loss of a building is:
An increase in temperature difference between the inside and outside of the building.