Is the relationship between the variables a direct variation, an inverse variation, or neither?

Option B: Inverse variation

Explanation:

Given that the set of data in the table.

Option A: Direct variation

For the relationship to be a direct variation, then the variables must satisfy the condition for direct variation

(2,9) ⇒

(3,6) ⇒

Since, the values of the constants are not equal.

The relationship does not represent a direct variation

Option A is not the correct answer.

Option B: Inverse variation

For the relationship to be a inverse variation, then the variables must satisfy the condition for inverse variation ⇒

(2,9) ⇒

(3,6) ⇒

(4,4.5) ⇒

(5,3.6) ⇒

Since, all the results of the constants are equal.

The relationship represents an inverse variation

Option B is the correct answer.

Option C: Direct variation

For the relationship to be a direct variation, then the variables must satisfy the condition for direct variation

(2,9) ⇒

(3,6) ⇒

Since, the values of the constants are not equal.

The relationship does not represent a direct variation

Option C is not the correct answer.

Option D: Neither

Since, the relationship represents an inverse variation, the relationship cannot be neither.

Hence, Option D is the not the correct answer.

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step-by-step explanation: