Final answer:
The Tompson Rover Formation cannot be older than the Earth or the solar system, which are approximately 4.5 billion years old. The closest age given the options is (b) 1 billion years, but this is a general estimate based on available choices and the known age of the Earth.
Step-by-step explanation:
The question regarding the possible age of the Tompson Rover Formation draws upon knowledge of geology and the radiometric dating techniques that are used to estimate the ages of geological formations. From the information provided we understand the solar system which includes the Earth and the moon, is approximately 4.5 billion years old. This age has been determined through studies of radioactive half-lives, especially from the dating of the oldest meteorites and lunar samples.
As the question suggests options all below 4.5 billion years old, none of the provided answers represent the minimum established age of the Earth and the broader solar system. However, the closest possible age given is option (b) 1 billion years. Nevertheless absent additional context on the Tompson Rover Formation this is an educated guess based on the available options and the known age of Earth and the solar system.