$A$ differential equation for the temperature $T$ of a hot body as a function of time,when it is placed in a bath which is held at a constant temperature of $32^{\circ} F$,is given by (where $k$ is a constant of proportionality):
- A$\frac{dT}{dt}=k(T-32)$
- B$\frac{dT}{dt}=-k(T-32)$
- C$\frac{dT}{dt}=k(T+32)$
- D$\frac{dT}{dt}=32kT$
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