The integer \( -5 \) would best represent the event that corresponds to a loss or decrease. Let's analyze each option:
I. You gain 5 pounds.
- This represents an increase, so it would not be represented by \( -5 \).
II. You set your clock 5 hours ahead.
- This indicates moving forward in time, which does not correspond to a negative value.
III. You use 5 gallons of gas.
- This implies a consumption or depletion of gas, which could be seen as a reduction and therefore can be represented as \( -5 \) in the context of the remaining amount.
Given these interpretations, the best event to represent by \( -5 \) is:
III. You use 5 gallons of gas.
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