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F-BF.1.b Warmup M2-015-A05-V04

Combine standard function types arithmetically to create models.

Build a contextual sum or difference of functions

Problem

The costs of two plans after \(m\) months are \(s(m)=7m\) and \(p(m)=5m+45~\text{dollars}\). Form \(T(m)=s(m)+p(m)\), preserve the second plan as a grouped expression before simplifying, and interpret the variable and fixed parts of the total-cost model.

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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
Build a contextual sum or difference of functions