Final answer:
Venus would sometimes appear close to sunrise and sometimes close to sunset in a geocentric model because its orbit keeps it near the Sun in the sky as seen from Earth.
Step-by-step explanation:
Regarding the question of whether Venus will always appear close to the sunrise or sunset in a geocentric model where it orbits at a different rate than the Sun, the answer is c. Sometimes close to sunrise, sometimes close to sunset. In a simple geocentric model, Venus would still be the second brightest object in the sky after the Sun and Moon and would appear either as an "evening star" after sunset or as a "morning star" before sunrise. This is because Venus' orbit, while different from the Sun's in rate, still keeps it relatively close to the Sun in the sky from our perspective on Earth.