Which of the following describes Exponential Decay?

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Multiple Choice

Which of the following describes Exponential Decay?

Explanation:
Exponential decay is when a quantity decreases by a fixed percentage in each equal time step. That means the amount you remove in a small interval is proportional to how much you have at that moment, so the percentage drop per unit time stays the same. As a result, the total value goes down, but the proportion that leaves per unit time remains constant. A common model is A(t) = A0 e^{-kt} with k > 0. The other descriptions describe growth (doubling at fixed intervals) or unpredictable fluctuations, which do not match exponential decay.

Exponential decay is when a quantity decreases by a fixed percentage in each equal time step. That means the amount you remove in a small interval is proportional to how much you have at that moment, so the percentage drop per unit time stays the same. As a result, the total value goes down, but the proportion that leaves per unit time remains constant. A common model is A(t) = A0 e^{-kt} with k > 0. The other descriptions describe growth (doubling at fixed intervals) or unpredictable fluctuations, which do not match exponential decay.

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