06_16_Direct_variation
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: How can you determine if a linear relationship is
a direct variation from an equation? a table? a graph?
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06_16_Direct_variation
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim:
How can you determine if a linear relationship is a direct variation from an equation? a table? a graph?
Direct variation ­ a linear relationship where the ratio of y to x is constant. We say "y varies directly with x"
the relationship is proportional so the graph goes through the origin!
constant of variation
or
constant of proportionality
it's the number you multiply x with to get y.
it is your slope, and your unit rate!
#
A
Direct Variation
B
Is the linear function a direct variation? If so, what is the constant
of proportionality?
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06_16_Direct_variation
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim:
AutoSave
How can you determine if a linear relationship is a direct variation from an equation? a table? a graph?
3
06_16_Direct_variation
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim:
AutoSave
How can you determine if a linear relationship is a direct variation from an equation? a table? a graph?
4
06_16_Direct_variation
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim:
AutoSave
How can you determine if a linear relationship is a direct variation from an equation? a table? a graph?
5
06_16_Direct_variation
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim:
AutoSave
How can you determine if a linear relationship is a direct variation from an equation? a table? a graph?
6
06_16_Direct_variation
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim:
AutoSave
How can you determine if a linear relationship is a direct variation from an equation? a table? a graph?
7
06_16_Direct_variation
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim:
AutoSave
How can you determine if a linear relationship is a direct variation from an equation? a table? a graph?
8
06_16_Direct_variation
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim:
AutoSave
How can you determine if a linear relationship is a direct variation from an equation? a table? a graph?
9
06_16_Direct_variation
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim:
AutoSave
How can you determine if a linear relationship is a direct variation from an equation? a table? a graph?
10
06_16_Direct_variation
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim:
AutoSave
How can you determine if a linear relationship is a direct variation from an equation? a table? a graph?
11
06_16_Direct_variation
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim:
AutoSave
How can you determine if a linear relationship is a direct variation from an equation? a table? a graph?
12
06_16_Direct_variation
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim:
AutoSave
How can you determine if a linear relationship is a direct variation from an equation? a table? a graph?
13
06_16_Direct_variation
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: How can you determine if a linear relationship is
a direct variation from an equation? a table? a graph?
Summary!!!
Home Practice
Sheet 2-30
• What is a constant ratio?
• How does "constant ratio" differ from "constant
rate of change"?
• What is a direct variation?
• How can we determine a direct variation from
an equation? a table? a graph?
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