Final answer:
The correct equation representing the number of hours it takes x workers to build a deck is D. y = 108/x, which describes an inverse relationship between the hours needed and the number of workers.
Step-by-step explanation:
The question asks which equation represents the number of hours it takes x workers to build a deck.
The correct answer is D. y = 108/x. This is because if a single worker would take 108 hours to build a deck alone, then each additional worker would contribute to dividing the total hours proportionally.
The result is that the number of hours (y) depends inversely on the number of workers (x).