## Calculus (3rd Edition)

Newton’s Law of Cooling is: $y'=-k(y-T_0)$ and hence its solution (the temperature) is given by $$y(t)=T_0+c e^{-kt}.$$ So the rate of cooling slows, becuase when $t$ (time) increases, then the term $c e^{-kt}$ decreases and hence $y(t)$ decreases.