Problem preview

MF.EQ.12 Challenge MF-039-A12-V04

Interpret algebraic solutions and state them as meaningful contextual answers, including restrictions or whole-number constraints when needed.

Choose the strongest contextual final answer

Problem

A hiker's round trip must be \(\text{no}~\text{more}~\text{than}~14~\text{miles}\). Let \(d\) be the one-way distance; solving \(2d~\le~14\) gives \(d~\le~7\). Evaluate every statement below in context and report the complete set of valid labels.

A. The hiker can walk \(\text{at}~\text{most}~7~\text{miles}\) one way.
B. Any distance \(\text{less}~\text{than}~\text{or}~\text{equal}~\text{to}~7~\text{miles}\) one way is possible.
C. The hiker must walk \(\text{exactly}~7~\text{miles}\) one way.
D. The total round trip can be \(\text{more}~\text{than}~14~\text{miles}\) as long as \(d~\le~7\).
E. A one-way distance of \(6.8~\text{miles}\) is allowed.
F. A one-way distance of \(7.2~\text{miles}\) is allowed.

Answer choices

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Select A, C, and E.

Select A, B, and E.

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Select A, B, and F.

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Curriculum context

Course: Math Foundations
Standard: MF.EQ.12
Category: Pre-Algebra
Domain: Inequalities
Objective: Interpret algebraic solutions and state them as meaningful contextual answers, including restrictions or whole-number constraints when needed.
Problem type: Choose the strongest contextual final answer