Black Friday Demand Curve & Profit Maximization

Students build a linear model from a price–demand scatterplot, then use it to predict demand, revenue, and profit at different price points. They analyze curves and determine the price that maximizes profit. A perfect real-world 8th-grade activity for scatterplots, linear modeling, and financial reasoning.

Bring real-world math to life with this engaging Black Friday Pricing & Profit Modeling Worksheet designed for 8th-grade students. In this interactive activity, students analyze a price–demand scatterplot, build a linear model using sliders, and use their model to predict demand, revenue, and profit at different price points. Their final goal is to determine the price that maximizes profit, just like real pricing analysts do in major companies.


Students explore key concepts from 8.SP (scatterplots), and financial literacy, making this a powerful cross-curricular activity that blends math, economics, and real-world decision-making.


⭐ What Students Will Do

  • Examine a scatterplot showing how product demand changes with price.
  • Adjust slope (m) and y-intercept (b) sliders to create a best-fit linear model.
  • Aim for a model error below 80, demonstrating an accurate trend line.
  • Write the equation of their linear model based on m and b.
  • Use their model to predict demand at realistic price points.
  • Calculate:
  • Demand using the linear model
  • Revenue = Price × Demand
  • Profit = Revenue – (Cost × Demand)
  • Watch Demand, Revenue, and Profit curves update in real time.
  • Identify the price between $30 and $90 that produces maximum profit.
  • Reflect on how price affects demand, revenue, and overall business success.


⭐ Why Teachers Love This Activity

  • Completely real-world and instantly relatable
  • Perfect holiday/Black Friday theme
  • Deeply interactive with sliders, auto-updating charts, and tables
  • Strengthens conceptual understanding of slope, intercept, and modeling
  • Integrates financial literacy in a natural way
  • Makes linear functions meaningful instead of abstract


Learning Objective

Students will analyze a scatterplot of real-world price–demand data and construct a linear model using sliders to fit the trend with minimal error. They will use their model to make predictions at new price points, calculate demand, revenue, and profit, and determine the price that maximizes profit—applying 8th-grade concepts of linear relationships, functions, and statistical modeling to a realistic business scenario.

Black Friday Demand Curve & Profit Maximization preview
Preview
Grade level
8
Type
Mini Lab (real-world worksheet)
Duration
20 minutes
Auto-graded
Yes
Common Core standards
8.SP.A.28.SP.A.3
Topics
StatisticsRandom SamplesScatter PlotsInterpreting Data
Tags
Real WorldFinancial CalculationsBusiness MathSeasonal

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