12.5: Proportional Relationships and Direct Variation

12.5Notes.notebook
January 09, 2014
12.5: Proportional Relationships and Direct Variation
For direct variation, two variable quantities are related proportionally by a constant positive ratio. The ratio is called the constant of proportionality or simply, the constant.
12.5Notes.notebook
January 09, 2014
Example 1:
y
50
45
40
35
30
25
20
15
10
5
x
0
1
2
3
4
5
6
7
8
9
10
12.5Notes.notebook
January 09, 2014
Example 2:
y
30
25
20
15
10
5
x
0
1
2
3
4
5
6
7
8
9
10
12.5Notes.notebook
January 09, 2014
Example 3:
y
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
x
1
2
3
4
5
6
7
8
9
10
12.5Notes.notebook
Example 4:
Example 5:
January 09, 2014
12.5Notes.notebook
Example 6:
January 09, 2014
12.5Notes.notebook
Homework • Practice Worksheets on 12.5
January 09, 2014