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MF.GR.8 Challenge MF-047-A12-V04

Distinguish proportional relationships from linear but non-proportional relationships.

Sort mixed representations by proportional structure

Problem

Identify \(\text{every}~\text{representation}\) that is linear but not proportional.

A. Points: \((0,~4),~(3,~10),~(5,~14)\)
B. Equation: \(y~=~-2x\)
C. Context: A candle is \(18~\text{cm}\) tall and burns down \(1.5~\text{cm}~\text{each}~\text{hour}\).
D. Table: \(x~=~1,~2,~3,~4\) and \(y~=~2,~4,~6,~8\)
E. Equation: \(y~=~7~-~3x\)
F. Context: A store gives \(4~\text{reward}~\text{points}~\text{for}~\text{every}~\text{dollar}~\text{spent}\), with \(\text{no}~\text{starting}~\text{bonus}\).

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Four variants of this problem type
Curriculum context
Standard
MF.GR.8
Category
Representations
Domain
Linear Contexts
Objective
Distinguish proportional relationships from linear but non-proportional relationships.
Problem type
Sort mixed representations by proportional structure