Download Lesson 3-6 Proportional and Nonproportional Relationships

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Binder Notes
Lesson 3-6
Proportional and Nonproportional Relationships
pages 197-199
A proportional relationship has an equation in the form y = kx, where k ≠ 0. The
graph passes through (0, 0). Direct variation is proportional.
Example 1) The table shows the number of miles driven for each hour of driving.
Hours
Miles
1
50
2
100
3
150
4
200
a.) Graph the data.
b.) Write an equation to describe the relationship.
c.) Use the equation to predict the number of miles driven in 8 hours.
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Linear functions may also form nonproportional relationships. When the ratios of
the x-value to the y-value of an ordered pair are different the function is
nonproportional. The graph will not pass through (0, 0).
Example 2)
The track team is ordering t-shirts from a local business. The table
shows charges for creating a design and the number of t-shirts
ordered.
Number of t-shirts
Total Charges ($)
25
180
50
330
75
480
100
630
a.) Graph the data.
b.) Write an equation to describe the relationship.
c.) Use the equation to predict the charges for 115 t-shirts.
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