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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-> 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):
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
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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
