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Y depends on Z translates to:

  1. If Y --> Z

  2. If Z --> Y

  3. If ~Y --> Z

  4. If ~Z --> Y

The correct answer is: If Y --> Z

When a statement says "Y depends on Z," it means that the existence or truth of Y is contingent on the existence or truth of Z. In logical terms, this relationship can be represented as "If Z, then Y" (Z -> Y). This is why choice A is the correct translation of the statement "Y depends on Z." Choice B, "If Z -> Y," is the inverse of the correct translation and doesn't capture the relationship accurately. Choice C, "If ~Y -> Z," and choice D, "If ~Z -> Y," do not represent the original statement correctly either.