Graphing Mathematical Relationships
Use Logger Pro to graph each of the following data sets, obtain an equation, and help
you answer the questions that are beside each data set. Assume the 1st column in each
set to be the independent (horizontal or x-axis) variable and the 2nd column to be the
dependent (vertical or y-axis) variable.
Data Set 1
V (m3)
0.1
0.5
1
2
4
5
8
10
P(pa)
40
8
4
2
1
0.8
0.5
0.4
Proportionality: ________________
If V is doubled, P ________________
If V is tripled, P ________________
If V is halved, P ________________
Units for “A” ________________
Sketch of Graph:
Data Set 2
t (s)
0.1
0.2
0.5
1
2
3
4
5
Mathematical Expression: _____________
x (m)
0.03
0.12
0.75
3
12
27
48
75
Mathematical Expression: _____________
Proportionality: ________________
If t is doubled, x ________________
If t is tripled, x ________________
If t is halved, x ________________
Units for “A” ________________
Sketch of Graph:
Data Set 3
A (months)
0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
W (pounds)
0
1
2
3
4
5
6
7
Data Set 4
Sketch of Graph:
Proportionality: ________________
If A is doubled, W ________________
If A is tripled, W ________________
If A is halved, W ________________
Units for “m” ________________
Sketch of Graph:
t (s)
0.3
1.2
2.7
4.8
7.5
10.8
14.7
19.2
Mathematical Expression: _____________
v (m/s)
10
20
30
40
50
60
70
80
Mathematical Expression: _____________
Proportionality: ________________
If t is doubled, v ________________
If t is tripled, v ________________
If t is halved, v ________________
Units for “A” ________________