Final answer:
The integer representing a worker descending 41 feet in a mine is -41, as downward movement is conventionally assigned a negative sign.
Step-by-step explanation:
To answer the question about the worker in a silver mine descends 41 feet, we must assign an integer to represent this change in position. In mathematics, when describing movement below a starting point, such as going down into a mine, a negative sign (-) is conventionally used. Therefore, the descent of the worker by 41 feet is represented by the integer -41. This means that the correct answer is B. -41.