1. **Problem Statement:** Given an initial current of 14.3 A that decreases over time to a steady-state current of 12.5 A, we want to understand the behavior of the current over time. 2. **Relevant Concept:** This is a typical example of a current decay in an electrical circuit, often modeled by an exponential decay function: $$I(t) = I_\text{final} + (I_\text{initial} - I_\text{final}) e^{-kt}$$ where $I(t)$ is the current at time $t$, $I_\text{initial}$ is the initial current, $I_\text{final}$ is the steady-state current, and $k$ is a positive constant related to the rate of decay. 3. **Given Values:** - $I_\text{initial} = 14.3$ A - $I_\text{final} = 12.5$ A 4. **Explanation:** The current starts at 14.3 A and decreases exponentially to 12.5 A as time progresses. 5. **Formula Application:** The function describing the current over time is: $$I(t) = 12.5 + (14.3 - 12.5) e^{-kt} = 12.5 + 1.8 e^{-kt}$$ 6. **Interpretation:** The term $1.8 e^{-kt}$ represents the transient current that decays to zero, leaving the steady-state current of 12.5 A. 7. **Note:** Without additional data points or time constants, $k$ cannot be determined here. **Final answer:** $$I(t) = 12.5 + 1.8 e^{-kt}$$ This equation models the current decay from 14.3 A to 12.5 A over time.