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Bollywood Box Office: Breaking Even with Quadratics

Polynomials

Students visualize how quadratic polynomials model movie profit patterns over weeks, discovering zeroes as break-even points and exploring the relationship between zeroes and coefficients through interactive graphs.

30 min
Duration
3
Missions
10
Problems
150
XP

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📖 Your Story

You are a data analyst at Yash Raj Films, one of Bollywood's leading production houses. Your task is to analyze profit patterns of recent movie releases using quadratic polynomials. The zeroes of these polynomials represent the break-even weeks - critical milestones that determine a film's financial success.

What You'll Learn

  • Visualize quadratic polynomials as parabolas and identify zeroes as x-intercepts
  • Understand the relationship between zeroes (α, β) and coefficients (a, b, c)
  • Apply the formulas α + β = -b/a and αβ = c/a to verify zeroes
  • Connect mathematical concepts to real-world profit/loss scenarios

How to Play

1Observe the parabolic graph showing profit/loss over weeks for different Bollywood films.
2Identify where the graph intersects the x-axis - these are the zeroes representing break-even weeks.
3Use the coefficient sliders to modify the polynomial and watch how zeroes change.
4Verify the relationship: Sum of zeroes = -b/a and Product of zeroes = c/a.

3 Missions Await

1

Break-Week Discovery

4 problems · 45 XP

2

Coefficient Detective

3 problems · 45 XP

3

Cubic Preview Challenge

3 problems · 60 XP

Bollywood Box Office: Breaking Even with Quadratics — Class 10 Mathematics Lab | Apar Academy