The best evidence from the passage that supports the statement about your body stopping sweating when moving from a hot temperature to a colder temperature is:
C. “This is particularly true when the temperature is high, because your body produces sweat as a way of trying to keep your body cool.”
This option explains the reason for sweating, which is a response to high temperatures, and implies that when the temperature drops, the body no longer needs to sweat to maintain a cool temperature.