$\text{slope}=\frac{\left({y}_{2}-{y}_{1}\right)}{\left({x}_{2}-{x}_{1}\right)}$
mass m = density ρ × Volume V
$\text{density}\phantom{\rule{1ex}{0ex}}\rho =\frac{\text{mass}\phantom{\rule{1ex}{0ex}}m}{\text{Volume}\phantom{\rule{1ex}{0ex}}V}$

1. The graph shows soap density data. Use the graphed data to answer the following questions.
1. __________ _____ Calculate the density ρ of Dial Basic soap. Include the units.
2. ______________ Based on the density, will Dial Basic soap float or sink?
3. __________ _____ Calculate the density ρ of Jergens soap.
4. ______________ Based on the density, will Jergens soap float or sink?
5. __________ _____ Calculate the density ρ of Ivory soap.
6. ______________ Based on the density, will Ivory soap float or sink?
7. __________ _____ What is the density of water in grams per cubic centimeter?
8. __________ _____ Calculate the density ρ of Neutrona soap.
9. ______________ Based on the density, will Neutrona soap float or sink?
2. A student gathered the data seen in the table below.
1. Plot the soap data on the graph.
2. __________ __________ Calculate the density of the soap. Include the units with your answer.
3. ______________ Based on the slope, will this soap [float] OR [sink]?
4. ______________ Based on the slope, is this soap likely to be Ivory OR Dial soap?
5. __________ __________ Calculate the mass of this soap for a volume of 200 cm³.
6. __________ __________ Calculate the volume of this soap for a mass of 240 g.
3. In laboratory one on a graph of volume versus mass for soap, what physical quantity did the slope represent?
4. Critical thinking: Some laboratory groups obtained slopes which incorrectly predicted whether their soap would float or sink. Which are they more likely to have measured incorrectly and WHY: the volume or the mass?