Problem preview
MF.PR.5 Standard MF-019-A06-V01

Determine whether a relationship is proportional from a table, graph, equation, or context.

Compare contexts for proportionality

Problem

Classify each situation as proportional or not proportional.

Situation A: Apples cost \(\$3~\text{per}~\text{pound}\).
Situation B: A game room charges a \(\$5~\text{entry}~\text{fee}\) plus \(\$3~\text{for}~\text{each}~\text{game}~\text{played}\).

Big Picture

What this problem is really about

Both situations contain a repeated per-unit rate, so the decisive difference is what happens before any units are purchased or used. We’ll translate each context into a cost rule, substitute zero pounds or zero games, and check for a remaining fixed amount. Only a rule with constant multiplication and a zero start meets the proportionality test.

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Four variants of this problem type
Curriculum context
Standard
MF.PR.5
Category
Proportional Reasoning
Domain
Representations
Objective
Determine whether a relationship is proportional from a table, graph, equation, or context.
Problem type
Compare contexts for proportionality