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