Determine which two relations are inverses of each other based on their descriptions.(1 point)

Responses

The amount of water needed in terms of the temperature outside, and the amount of water needed in terms of the number of hours spent outside.
The amount of water needed in terms of the temperature outside, and the amount of water needed in terms of the number of hours spent outside.

The amount of water needed in terms of the temperature outside, and the number of breaks needed in terms of the number of hours spent outside.
The amount of water needed in terms of the temperature outside, and the number of breaks needed in terms of the number of hours spent outside.

The amount of water needed in terms of the temperature outside, and the temperature outside in terms of the number of breaks needed.
The amount of water needed in terms of the temperature outside, and the temperature outside in terms of the number of breaks needed.

The amount of water needed in terms of the temperature outside, and the temperature outside in terms of the amount of water needed.
The amount of water needed in terms of the temperature outside, and the temperature outside in terms of the amount of water needed.

1 answer

To determine which two relations are inverses of each other, we look for pairs of relationships where one can be expressed as the inverse of the other.

The most plausible pair among the options you provided is:

The amount of water needed in terms of the temperature outside, and the temperature outside in terms of the amount of water needed.

This is because if you have a relation that gives the amount of water based on temperature, the inverse relation would provide the temperature based on the amount of water needed. Thus, this pair directly represents inverse relationships.

The other pairs either don't involve directly related variables in the context of providing inverse functions or don't express a clear inverse relationship.