Constant of Proportionality.notebook
January 06, 2015
The constant of proportionality is a constant ratio (unit rate) in any proportional relationship.
We use the letter k to represent the constant of proportionality.
Constant of Proportionality
Equations:
y = kx or k = y x
Return to Table of Contents
81
82
Find the constant of proportionality:
We can find the constant of proportionality from a table of values, equation and a graph.
In a table, simplify any one of the ratios.
Chaperones
1
2
3
4
5
Students
12
24
36
48
60
Apples (lbs)
2
2.5
3
3.5
4
Cost ($)
3.96
4.95
5.94
6.93
7.92
Click 83
X
1Find the constant of proportionality.
Y
X
Y
3
4.5
2
1.5
4
6
5
3.75
5
7.5
10
7.5
8
12
12
9
9
13.5
Answer
Find the constant of proportionality:
84
k = 0.75
Click 85
86
1
Constant of Proportionality.notebook
Y
2
2.5
3
3.75
4
5
9
11.25
X
Answer
X
3Find the constant of proportionality.
k = 1.25
Y
50
3
75
4.5
100
6
140
8.4
87
Answer
2Find the constant of proportionality.
January 06, 2015
k = 3 50
88
In an equation, write the equation in the form y = kx.
Find the constant of proportionality: (click to reveal)
Examples:
Click Click Click 89
90
5Find the constant of proportionality.
Answer
Answer
4Find the constant of proportionality.
k = 12.9
k = 1 9
91
92
2
Constant of Proportionality.notebook
January 06, 2015
In a graph, choose a point (x, y) to find and simplify the ratio.
6Find the constant of proportionality.
60
Answer
(2, 24)
54
48
k = 0.45
Students
42
36
30
24
18
12
6
0 1 2 3 4 5 6 7 8 9 10
Chaperones
93
94
Find the constant of proportionality.
7Find the constant of proportionality.
20
40
18
36
16
32
14
28
24
20
8
16
6
12
4
8
2
4
0 2 4 6 8 10 12 14 16 18 20
Answer
12
10
k = 8
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
Click 95
96
9Find the constant of proportionality.
2.5
4.5
2.25
Answer
5
4
3.5
2
1.75
k = 1 3
3
2.5
Answer
8Find the constant of proportionality.
1.5
1.25
1
2
1.5
0.75
1
0.5
0.5
0.25
0 1 2 3 4 5 6 7 8 9 10
97
0 2 4 6 8 10 12 14 16 18 20
98
3
Constant of Proportionality.notebook
January 06, 2015
Jan 6­8:58 AM
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