SOLUTION: Is the relationship between the varibles in the table a direct variation, an in verse or neither? If it is a direct inverse write a function to model it. X= -2 3 5 6 Y= -1

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Question 79979: Is the relationship between the varibles in the table a direct variation, an in verse or neither? If it is a direct inverse write a function to model it.
X= -2 3 5 6
Y= -11 4 13 32

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!

Is the relationship between the varibles in the table a direct variation, 
an inverse or neither? If it is a direct inverse write a function to model
it. 
X=  -2 3  5  6 
Y= -11 4 13 32 

-------------------------------------------------------------

If it is a direct variation, then if we substitute all of them 
in the equation

Y = kK

the value of k will be the same.

-11 = k(-2)
-11 = -2k
 = k
 = k

4 = k(3)
4 = 2k
 = k
 = k

So it can't be a direct variation because those two values
of k are not the same.  But we might as well
see what the other values of k are:

13 = k(5)
13 = 5k
 = k

 = k
 = k

They certainly aren't all the same, so this is not a direct variation.

If it is an inverse variation, then if we substitute all of them in the
equation

Y = 

the value of k will be the same.

-11 = 
 22 =  k

4 = 
12 = k

So it can't be an inverse variation either because those
values of k are not the same.  But we might as well
see what the other values of k are:

13 = 
65 = k

32 = 
192 = k

They certainly aren't all the same!  So it's not an inverse
variation either.  So it's NEITHER!

However, the data fits the formula:
 
     Y = 

Edwin

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