Amazing Profit

Students use equations to determine eBay profit on new technology. EBay is an online auction agency. For a limited time after a “new” product’s street release date, it is possible to track the profit that sellers make for auctioning them on eBay. Students use previous data of selling prices to derive a linear equation for the “closing bid price” on a product. This lesson is designed for students who already know how to determine linear equations from a coordinate graph. Its purpose is to illustrate an application of understanding relationships and trends.

Standards & Objectives

Learning objectives: 

Learning Objectives:

Students will:

  • Determine ta linear equation for selling price of and profit from “new” technology on eBay.
  • Interpret a graph of the constructed equations.
  • Analyze relationships and trends from multiple representations of data.
Essential and guiding questions: 

Questions for Students:

  • Can you think of a situation where there might be a positive slope for profit on items selling on eBay? 
  • What other kinds of items might sell for high prices in the future? 
  • How fast do you think the lines of profit for other items would come down? 
  • Do you think the profit and closing bids will always have an approximately linear relationship? 

Lesson Variations

Blooms taxonomy level: 
Understanding
Extension suggestions: 

Extensions:

  • Use the data table below to draw a line of best fit. The students will find that the data does not precisely lie upon a single line, but there is a line that passes very closely to each of the data points. Discuss line of best fit and other types of regression.
  • Have students research other eBay trends and identify another similar phenomena that occurred and provide evidence as a comparison to the other examples. 

Helpful Hints

Materials:

  • Markers or colored pencils 
  • Rulers
  • Amazing Profit Overhead 
  • Amazing Profit Activity Sheet 
  •  

References

Contributors: