Let $A$ and $k$ be positive constants. Which of the given functions is a solution to $\frac{dy}{dt}=k(1 - A y)$?
A. $y = -A + C e^{-kt}$
B. $y = A + C e^{kt}$
C. $y = -A + C e^{kt}$
D. $y = A + C e^{-kt}$
E. $y = A^{-1} + C e^{Akt}$
F. $y = A^{-1} + C e^{-Akt}$