Problem preview
MF.QR.1 Challenge MF-059-A12-V04

Identify relevant information, ignore distractors, and choose an appropriate operation or representation for a contextual problem.

Find every context or setup that matches the target structure

Problem

Plan A costs \(\$18\) plus \(\$6~\text{per}~\text{ticket}~\text{package}\); Plan B costs \(\$12\) plus \(\$15~\text{per}~\text{package}\). For the \(\text{same}~\text{number}~n\) of packages, model how much more Plan A costs than Plan B. Evaluate Setups A–E, then report the \(\text{complete}~\text{valid}~\text{set}\).
A. Use \(18+6n\) and \(12+15n\); compare with \((18+6n)-(12+15n)\).
B. Use \(\text{the}~\text{same}~\text{totals}\); compare by adding them.
C. Use \(6n+18\) and \(15n+12\); compare with \((6n+18)-(15n+12)\).
D. Use \(18n\) and \(15n\); compare with \(18n-15n\).
E. Make a table from \(18+6n\) and \(12+15n\) and compare totals at the \(\text{same}~n\).

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Four variants of this problem type
Curriculum context
Standard
MF.QR.1
Category
Modeling
Domain
Quantitative Reasoning
Objective
Identify relevant information, ignore distractors, and choose an appropriate operation or representation for a contextual problem.
Problem type
Find every context or setup that matches the target structure