To determine which two relations are inverses of each other, we need to identify pairs that essentially describe the same relationship from opposite perspectives.
Let's analyze the options:
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The height of a plant in terms of the amount of fertilizer in its soil, and the number of days since a plant sprouted in terms of its height:
- These do not appear to be inverses of each other since one is about fertilizer affecting height, while the other is about time affecting height.
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The number of days since a plant sprouted in terms of the amount of water it received, and the amount of water the plant received in terms of its height:
- These are not directly inverse relationships focusing on different parameters (time vs. water vs. height).
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The height of a plant in terms of the number of days since it sprouted, and the number of days since a plant sprouted in terms of its height:
- These are inverse relationships. The first describes how height changes with time since sprouting, and the second describes how time since sprouting changes with height.
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The height of a plant in terms of the number of times it was watered, and the height of the plant in terms of the amount of fertilizer in its soil:
- Again, these do not examine the same relationship and are not inverses of one another.
Based on the analysis, the correct answer is:
The height of a plant in terms of the number of days since it sprouted, and the number of days since a plant sprouted in terms of its height.