To determine which two relations are inverses of each other, we look for pairs of descriptions where one relates a variable in one way, and the other relates that same variable back.
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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 two different variables not inverses of each other.
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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.
- Here, one relates height to time, while the other relates time back to height. This could indicate an inverse relationship.
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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 seem to relate inversely as they involve different variables.
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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.
- These involve different variables as well, so they are not inverses.
Thus, the correct relation that represents two inverse functions 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.