graphing density. scientists have collected the following data by measuring the masses of several...
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Graphing Density
Graphing Density
• Scientists have collected the following data by measuring the masses of several samples of oil.
• The volume of each sample of oil was measured using a graduated cylinder and then masses using a scale.
Graphing Density
Mass (g) Volume (ml)
20 18.4
15 13.8
1 .92
30 27.6
25 23
5 4.6
10 9.2
Graphing Density
• The Scientists want to know the density of the oil.
• To do this we will need to make a line graph of the data points
Graphing Density
• First we need to Identify the independent and dependent variable– The scientists took different volumes of the
oil.• This means the volume is the independent
variable • And the mass is the dependent variable
• Next we need to label the dependent and independent variable on our graph
Graphing Density
Mass vs Volume
0
0.2
0.4
0.6
0.8
1
1.2
0 0.2 0.4 0.6 0.8 1 1.2
Volume (ml)
Mas
s (g
)
Dependent Variable
Independent Variable
Graphing Density
• Next we number the lines on each axis.
Mass vs Volume
0
5
10
15
20
25
30
35
0 5 10 15 20 25 30
Volume (ml)
Mas
s (g
)
28.47/30 linesofNumber
graphedbetonumberHighest
Round up to 5
Graphing Density
• Next we plot the data points
Mass vs Volume
0.92, 1
4.6, 5
9.2, 10
13.8, 15
18.4, 20
23, 25
27.6, 30
0
5
10
15
20
25
30
35
0 5 10 15 20 25 30
Volume (ml)
Mas
s (g
)
Series1
Graphing Density
• Now we draw a line of best fit through the data points
Mass vs Volume
0.92, 1
4.6, 5
9.2, 10
13.8, 15
18.4, 20
23, 25
27.6, 30
0
5
10
15
20
25
30
35
0 5 10 15 20 25 30
Volume (ml)
Mas
s (g
)
Series1
Linear (Series1)
Graphing Density
• The slope of the line will tell use the density of the oil.
• Rise is measured in grams
• Run is measured in milliliters
run
riseslope
densitysmilliliter
grams
run
riseslope
Graphing Density
Mass vs Volume
0.92, 1
4.6, 5
9.2, 10
13.8, 15
18.4, 20
23, 25
27.6, 30
0
5
10
15
20
25
30
35
0 5 10 15 20 25 30
Volume (ml)
Mas
s (g
)
Series1
Linear (Series1)
Run= 18.4 ml -9.2 ml = 9.2 ml
Rise= 20 g -10 g = 10 g
• Density = 10 g / 9.2 ml = 1.08 g/ml
Graphing Density
• From this graph we can conclude that the density of oil is 1.08 g/ml.
• We can now use this graph to predict the mass and the volume of oil if we know one variable.
Graphing Density
• Using the graph lets predict the mass of oil if the volume is 25 ml
Mass vs Volume
0.92, 1
4.6, 5
9.2, 10
13.8, 15
18.4, 20
23, 25
27.6, 30
0
5
10
15
20
25
30
35
0 5 10 15 20 25 30
Volume (ml)
Mas
s (g
)
Series1
Linear (Series1)
27 g
Graphing Density
• Using the graph lets predict the volume of oild if it has a mass of 12.5 grams
Mass vs Volume
0.92, 1
4.6, 5
9.2, 10
13.8, 15
18.4, 20
23, 25
27.6, 30
0
5
10
15
20
25
30
35
0 5 10 15 20 25 30
Volume (ml)
Mas
s (g
)
Series1
Linear (Series1)
11.6 ml
Graphing Density
• Looking at the graph finish this statement– As volume increases, the mass of oil ____________
Mass vs Volume
0.92, 1
4.6, 5
9.2, 10
13.8, 15
18.4, 20
23, 25
27.6, 30
0
5
10
15
20
25
30
35
0 5 10 15 20 25 30
Volume (ml)
Mas
s (g
)
Series1
Linear (Series1)
increases