Term
Is the following equation a
DIRECT VARIATION function?
y = -x |
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Definition
YES!
(Because it is in the form "y = kx" where k = -1) |
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Term
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Definition
DIRECT VARIATION
(Because the graph goes through the origin!) |
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Term
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Definition
NOT DIRECT VARIATION
(Graph does not go through the origin!) |
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Term
|
Definition
DIRECT VARIATION
(Graph goes throught the origin!) |
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Term
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Definition
NOT DIRECT VARIATION
(Graph does not go through the origin!) |
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Term
|
Definition
DIRECT VARIATION
(Graph goes through the origin!) |
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Term
Is the following equation a
DIRECT VARIATION
function?
y = 3x |
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Definition
YES!
(Because it is in the form "y = kx" where k = 3) |
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Term
Is the following equation a
DIRECT VARIATION
function?
y = x + 2 |
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Definition
NO!
(Because direct variation functions never have addition or subtraction in them..They should be in the form "y = kx") |
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Term
What is the
CONSTANT OF VARIATION
for
y = 6x? |
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Definition
The
CONSTANT OF VARIATION (k)
is 6! |
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Term
| If the point (2, 8) is on a direct variation function, what is the CONSTANT OF VARIATION? |
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Definition
SOLUTION:
Direct Variation Equation: y = kx
The point (2, 8) is an (x, y)
Replace x and y in the equation for the x & y coordinates:
8 = k(2)
Divide by 2 on both sides to get:
k = 4
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