Coastline Community College Stackable Cups Math Project

Type or neatly write your project on separate paper. Then you can submit using any one of these methods.

1. Take picture(s) of your pages and upload here.

You will need:• Several identical stackable cups or bowls.• Something to measure with. (If you don’t have one but are near anIKEA store, go there and take one of the measuring tapes they put allover the store.)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. Continuethrough 7 cups.2. Take a photo of your stacks of cups and include it in your report.3. Make a table of values of the number of cups versus the height of the stack. Provide as muchdetails as you deem necessary.4. Using your table of values, plot points on a graph where the 𝑥𝑥-coordinate is the number of cupsand the 𝑦𝑦-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.5. Using your work from parts 1-4, develop an equation for the height, 𝑦𝑦, of 𝑥𝑥 cups.6. In theory, the 𝑦𝑦-intercept is the value of 𝑦𝑦 when 𝑥𝑥 = 0. Obviously, in this context, the 𝑦𝑦-intercept cannot be the height of 0 cups. What, then, is the physical significance, in the contextof stacked cups, of the 𝑦𝑦-intercept?7. What is the slope of this line and what is its physical significance in this context?8. Measure the table you are sitting at. Use your equation to determine the maximum number ofcups that can be put in a stack under your table. Write a few sentences and show the mathdescribing how you determined this.9. If you used American units, answer this question: You have 10 stacks of cups, each stack about 3feet long; about how many cups do you have?If you used metric, answer this question: You have 10 stacks of cups, each stack about 1 meterlong; about how many cups do you have?Show your work.