Option B: Inverse variation
Explanation:
Given that the set of data in the table.
<u>Option A: Direct variation </u><u></u>
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.
<u>Option B: Inverse variation </u><u></u>
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.
<u>Option C: Direct variation </u><u></u>
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.