Problem preview

F-BF.1.a Warmup M2-014-A03-V03

Build quadratic and exponential functions from context using explicit formulas, recursive processes, or calculation steps.

Build a quadratic revenue or profit function from a price-and-demand context

Problem

Revenue is \(p(50-p)\) and fixed cost is \(100\). Use profit equals revenue minus cost, write and expand \(P(p)\), and explain why the fixed cost changes only the constant term.

Answer choices

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P(p)=p(50-p)-100

P(p)=p(50-p)+100

P(p)=50p-p²+100

P(p)=50-p-100

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Curriculum context

Course: Math II
Standard: F-BF.1.a
Category: Functions
Domain: Building Functions
Objective: Build quadratic and exponential functions from context using explicit formulas, recursive processes, or calculation steps.
Problem type: Build a quadratic revenue or profit function from a price-and-demand context