Linear and Non­Linear Relationships and Direct Variation
March 20, 2013
What's Going On?
How was the test?
How Much? How Many?
Direct Variation
Vortex
Learning Goal ­ I will be able to identify Direct Variation! 1
Linear and Non­Linear Relationships and Direct Variation
March 20, 2013
Linear and Non­Linear Relationships
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Linear and Non­Linear Relationships and Direct Variation
March 20, 2013
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Linear and Non­Linear Relationships and Direct Variation
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Non-Linear
March 20, 2013
No Relationship
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Linear and Non­Linear Relationships and Direct Variation
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Non-Linear
March 20, 2013
No Relationship
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Linear and Non­Linear Relationships and Direct Variation
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Non-Linear
March 20, 2013
No Relationship
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Linear and Non­Linear Relationships and Direct Variation
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Non-Linear
March 20, 2013
No Relationship
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Linear and Non­Linear Relationships and Direct Variation
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Non-Linear
March 20, 2013
No Relationship
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Linear and Non­Linear Relationships and Direct Variation
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Non-Linear
March 20, 2013
No Relationship
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Linear and Non­Linear Relationships and Direct Variation
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Non-Linear
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No Relationship
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Linear and Non­Linear Relationships and Direct Variation
Linear
Non-Linear
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No Relationship
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Linear and Non­Linear Relationships and Direct Variation
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Non-Linear
March 20, 2013
No Relationship
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Linear and Non­Linear Relationships and Direct Variation
March 20, 2013
Direct Variation
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Linear and Non­Linear Relationships and Direct Variation
March 20, 2013
How Much?
Mr. Gilbert makes $130 an hour teaching math.
Earnings
Create an expression to model Mr. Gilbert's earnings.
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0
Hours Worked
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Linear and Non­Linear Relationships and Direct Variation
March 20, 2013
How Many?
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Number of Tiles = 15
Linear and Non­Linear Relationships and Direct Variation
March 20, 2013
How Many?
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Number of Tiles = 16
Linear and Non­Linear Relationships and Direct Variation
March 20, 2013
Direct Variation
Earnings
These are all examples of Direct Variation
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0
Hours Worked
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Linear and Non­Linear Relationships and Direct Variation
March 20, 2013
What is Direct Variation?
Direct Variation
A relationship between two variables in which one
variable is a constant multiple of the other.
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Linear and Non­Linear Relationships and Direct Variation
March 20, 2013
Direct Variation
y = 2x
y = -3x
g = 7f
speed = distance/time
y = 2x + 5
y = -3x - 2
a=b+7
E = 10h + b
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Linear and Non­Linear Relationships and Direct Variation
March 20, 2013
Constant of Variation
y = 3x
The constant of variation is 3
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Linear and Non­Linear Relationships and Direct Variation
March 20, 2013
Constant of Variation
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Linear and Non­Linear Relationships and Direct Variation
March 20, 2013
Constant of Variation
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Linear and Non­Linear Relationships and Direct Variation
March 20, 2013
Constant of Variation
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Linear and Non­Linear Relationships and Direct Variation
March 20, 2013
What is a Constant of Variation?
Constant of Variation
The ratio of corresponding values of the variables.
The k or coefficient in y = kx.
The constant that is multiplied by the independent variable.
Also known as a constant multiple.
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Linear and Non­Linear Relationships and Direct Variation
March 20, 2013
Practice it!
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