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Unless — in flow models, the rate might be interpreted as the derivative, and proportional with proportionality constant 1, but unlikely.
Given the difficulty and style, likely the intended interpretation is:
Given the pattern in the provided examples, often the answer is a simple radical or integer.
Another idea: in some models, the increase per hour is proportional to the tangent, but for Units Olympiad, likely they want:
But to resolve, consider a clean, mathematically sound Olympiad problem inspired:
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