Final answer:
The correct equation for the weight a wire rope can hold is W < 8000d², where W is the weight in pounds and d is the diameter in inches. Thus, the answer is option C.
Step-by-step explanation:
The question pertains to the relationship between the diameter of a wire rope and the maximum weight it can safely support. According to the given inequality W < 8000d², the weight W that a wire rope can safely support is less than or equal to 8000 times the square of its diameter d (in inches). Therefore, the correct answer to the question from the provided options is W < 8000d², which corresponds to option C.
The correct answer is C. W < 8000d². The inequality W ≤ 8000d² means that the weight W is less than or equal to 8000 multiplied by the square of the diameter d of the rope. This is because the wire rope can safely support a weight W as long as it is within this limit. Therefore, the correct option is C, which indicates that the weight W is less than 8000d².