Determine if the relationship between each pair of values is a direct variation or an inverse variation

Question

(1.5, 4), (2, 3), (12, 0.5)

Answer 1

Hi again, Amelia.

 

Direct Variation means:  As "x" increases, "y" also increases.

 

or if x is decreasing, then: As "x" decreases, "y" also decreases.

 

 

Inverse Variation means:  As "x" increases, "y" decreases.

 

or if x is decreasing, then:  As "x" decreases, then "y" increases.

 

 

In other words - if the x-values are going up, the y-values should also go up for DIRECT variation.

 

If the x-values go a different direction that the y-values, then it is INVERSE variation.

 

 

For your problem, x increases from 1.5 to 2 to 12

While at the same time, y decreases from 4 to 3 to 0.5.

 

This is an inverse variation.