I need help with a project
Mathematics
THE PROJECT
Type or write your answers neatly on a separate piece of paper.
1. Measure the precise height of 1 cup. Measure the precise height of a stack of 2 cups. Measure
the precise height of a stack of 3, 4, 5, 7, 10 cups. Make a table of values of the number of cups
versus the height of the stack. Provide as much details as you deem necessary.
2. Using your table, plot points on a graph where the -coordinate is the is the number of cups and
the -coordinate is the height of the stack. Draw a straight line that best fits those points. (Use a
ruler or straightedge; wobbly lines will lose points.)
Don’t forget to label and scale the axes.
3. Using your work from parts (a) and (b), develop an equation for the height, , of cups.
4. What is the slope of this line and what is its physical significance?
5. What height does the equation give when there are zero cups? What is the physical significance,
in this context, of the -intercept?
6. Determine whether a stack of 100 cups will fit under the table you are working on. Write a few
sentences describing how you determined this.
7. Determine the maximum number of cups that can be put in a stack under your table. Write a
few sentences describing how you determined this.
8. If you have 10 stacks of cups, each stack about 3 feet long, about how many cups do you have?
(If you used metric, answer this instead: If you have 10 stacks of cups, each stack about 1 meter
long, about how many cups do you have?) Show your work.
