APFIVE Newton's Law of Cooling Model
A cooling process is modeled by the differential equation $$\frac{dT}{dt}=-k*(T-20)$$, where the room temperature is $$20\,°C$$ and $$k > 0$$. If the initial temperature is $$T(0)=80\,°C$$, which function best models $$T(t)$$?
| t (min) | T (°C) |
|---|---|
| 0 | 80 |
| 5 | 60 |
| 10 | 45 |
A
$$T(t)= 80*e^{-k*t}$$
B
$$T(t)= 20+60*e^{-k*t}$$
C
$$T(t)= 20-60*e^{-k*t}$$
D
$$T(t)= 20+60*e^{k*t}$$
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