Two different relationships are shown below.

Relationship 1: xy = 3

Relationship 2:

A graph is shown that has the following points plotted: one comma three, two comma six, three comma nine, four comma twelve.

a) Identify each relationship as direct or inverse variation.
b) Calculate the constant of each relationship and explain how you arrived at your answer.
c) Using complete sentences, explain how the two relationships are different, and how they are similar.

Question

Two different relationships are shown below. 

Relationship 1: xy = 3 

Relationship 2: 

A graph is shown that has the following points plotted: one comma three, two comma six, three comma nine, four comma twelve. 

a) Identify each relationship as direct or inverse variation. 
b) Calculate the constant of each relationship and explain how you arrived at your answer. 
c) Using complete sentences, explain how the two relationships are different, and how they are similar.

mertsj · Answer

a)  Relation 1 inverse
     Relation 2 direct
b)  Relation 1:  3
      Relation 2:  3
c)  The relationships are the same because they have the same constant of variation.  They are different because in one case the product of the variables is equal to the constant and in the other case, the quotient of the variables is equal to the constant.