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.

solomonzelman · Answer

(1,3)  (2,6)  (3,9)  (4,12)
So, it is basically,  y=3x

solomonzelman · Answer

So   Relationship 1:  y=3/x     inverse variation.
       Relationship 2:  y=3x       direct variation.

solomonzelman · Answer

In both cases, the `k` is 3.

solomonzelman · Answer

you yourself can explain how you get k=3 :)

solomonzelman · Answer

For part C, I will not give the sentences, but I'll tell you that 

                 Relationship 1                 Relationship 2

x→∞               y→∞                                y→0
x→0                y→0                                 y→∞

anonymous · Answer

ohhhhh i get it thank you for explaning this to me it really help :)

solomonzelman · Answer

Glad to help, yw !