You can set up any "Strengthen the Argument" question with a framework like this:
BECAUSE
evidence
THEREFORE
conclusion
ESPECIALLY IF
answer
In this case, that would be:
BECAUSE
climate was highly variable
variable climate hurt food production
THEREFORE
variable climate was a major cause of fall of Rome
ESPECIALLY IF
(D) Rome thrived when weather was favorable for agriculture
One way to check a "strengthen the argument" answer is to ask what would happen if it were the opposite. What if good weather made no difference to Rome? Would that WEAKEN the claim that it was the varying climate that brought down the Empire? It sort of weakens it--if good weather makes no difference, why should bad weather be a problem? And then why should changes in the weather matter?
Checking what happens if the answer was the opposite may also help you avoid the trick answers here that are highly relevant -- except they WEAKEN the argument instead of strengthen it.