### Concept (1)

When modeling real world situations, we often use what's called inverse variation to describe a relation between two variables. Inverse variation is a relation in which the absolute value of one variable gets smaller while the other gets larger. Inverse variation and direct variation are important concepts to understand when learning equations and interpreting graphs.

### Sample Problems (6)

Need help with "Inverse Variation" problems? Watch expert teachers solve similar problems to develop your skills.

Tell whether each relationship is an inverse variation:

a)
b)
 x y 1 12 2 6 -3 -4
 x y 1 4 3 12 -2 -8
###### Problem 1
How to tell if tables of values represent inverse variation relationships.

Tell whether the relationship 3xy = -10 is an inverse variation.

###### Problem 2
How to tell if a given equation represents an inverse variation relationship.

If the points (½,4) and (x,1⁄10) are solutions to an inverse variation, find x.

###### Problem 3
How to solve for a variable in an ordered pair if told that two points are solutions to an inverse variation.
###### Problem 4
Determining whether a given equation or table represents inverse or indirect variation
###### Problem 5
Using inverse or indirect variation to find the constant of variation and make predictions
###### Problem 6
Word problems involving indirect or inverse variation