CONCLUSION: The cake in Alex's refrigerator must be at least a week old.
LINE OF REASONING:
Generalization: Normal Refrigeration Timeline -> Alex's Specific Cake Timeline
Cause-Effect: Presence of Mold -> Passage of At Least One Week
CORE ASSUMPTION: The cake experienced standard refrigeration conditions and did not begin molding prior to being placed in the refrigerator.
STRENGTHENING APPROACH: Confirm that no external factors accelerated the molding process, ensuring that the general "one week" timeline applies directly to this specific case.
OPTION ANALYSIS:
(A) Incorrect. An uncleaned fridge might accelerate mold growth due to excess spores, meaning the cake could be less than a week old. This weakens the argument.
(B) Incorrect. A power outage means the fridge was warm, which would cause the cake to mold faster than normal. This weakens the conclusion.
(C) Correct. This eliminates an alternative variable by confirming the cake was freshly baked when placed in the fridge and stayed there continuously. It ensures that the mold developed entirely under normal refrigeration conditions, validating the one-week timeline.
(D) Incorrect. This mildly supports the premise that cakes normally last a week in a fridge. However, we already accept the prompt's premises as fact. It does nothing to secure the timeline of Alex's specific cake.
(E) Incorrect. The specific day of the week provides no helpful data without a reference point for the current day.