1. Unit 1 Notes: Graphing & Density

2. (1) Density:
The amount of particles packed into a given amount of space.
The amount of MASS in a given VOLUME.
Mass is measured in Grams (g).
Volume is measured in Milliliters (mL).
Density is measured in g/mL .
Math Equation: D = M / V

3. (2) Density Examples: A 30.0 33.0 5.0 B 35.0 8.0 C 36.0 10.0 D 43.0
Object
Volume of Water Alone (mL)
Volume of Water with Object (mL)
Volume of Object Alone (mL)
Mass of Object (g)
Density of Object A
30.0
33.0
5.0 B
35.0
8.0 C
36.0
10.0 D
43.0
13.0

4. (3) Graph Variables: Independent Variable: Dependent Variable:
Always on X-Axis.
It was Volume in our lab.
It is what YOU change in a lab.
Dependent Variable:
Always on the Y-Axis.
It was the Mass in our lab.
It is what changes as a RESULT of the independent variable.

5. (4) Graph Relationships:
Linear Relationship: As one variable increases, so does the other variable.
Directly Proportional Relationship:
As one variable increases, the other does by the SAME AMOUNT.
The Mass and Volume of different objects are “Directly Proportional” when their DENSITIES ARE THE SAME.
Inverse Relationship:
As one variable increases, the other decreases.

6. (5) Relationship Example #1:
Object
Volume of Water Alone (mL)
Volume of Water with Object (mL)
Volume of Object Alone (mL)
Mass of Object (g)
Density of Object A
30.0
33.0
3.0
5.0
1.6 g/mL B
35.0
8.0 C
36.0
6.0
10.0 D
43.0
13.0
Does this data show a:
Linear Relationship? Why?
Directly Proportional Relationship? Why?

7. (6) Relationship Example #2:
Object
Volume of Water Alone (mL)
Volume of Water with Object (mL)
Volume of Object Alone (mL)
Mass of Object (g)
Density of Object A
30.0
33.0
5.0 B
37.0
8.0 C
41.0
10.0 D
35.0
43.0
14.0
Does this data show a:
Linear Relationship? Why?
Directly Proportional Relationship? Why?

8. (7) Relationship Example #3:
Which types of relationships are shown in these graphs?