Final answer:
A scientific explanation becomes widely accepted when a hypothesis is tested repeatedly and the results of the tests are mostly supported by scientific investigations.
Step-by-step explanation:
The best description of how a scientific explanation becomes widely accepted is that a hypothesis is tested repeatedly and the results of the tests are mostly supported by the scientific investigations. When a hypothesis is tested multiple times and the results consistently support it, scientists begin to accept it as a reliable explanation for natural phenomena. The scientific community plays a crucial role in this process by engaging in debates and discussions to verify and refine the hypothesis.