Problem preview
F-BF.1.b Warmup M2-015-A03-V02

Combine standard function types arithmetically to create models.

Form and interpret the product of two functions in context

Problem

Price and demand are \(p(q)=q\) and \(d(q)=60-q\). Use revenue equals price times demand to form \(R(q)=(p\cdot~d)(q)\), substitute the functions, expand the product as a check, and explain what \(R(q)\) represents.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
F-BF.1.b
Category
Functions
Domain
Building Functions
Objective
Combine standard function types arithmetically to create models.
Problem type
Form and interpret the product of two functions in context