Which one of these relationships is different than the other three? Explain how you know.

The relationship B is different than the other three, because it has a different proportionality constant.

Step-by-step explanation:

All available options show direct relationships, which are defined as follows:

(1)

Where:

- Independent variable, dimensionless.

- Dependent variable, dimensionless.

- Proportionality constant, dimensionless.

We proceed to use the following strategy based on the proportionality constant, that is:

A different relationship must indicate a different proportionality constant:

Option A (, )

Option B (, )

Option C (, )

Option D (, )

The relationship B is different than the other three, because it has a different proportionality constant.

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step-by-step explanation: