Problem preview
MF.PR.4 Challenge MF-018-A12-V04

Use ratio tables and double number lines to solve missing-value and scaling problems.

Screen for matching proportional representations

Problem

A science mixture uses \(0.8~\text{liters}~\text{of}~\text{water}\) for every \(1.2~\text{liters}~\text{of}~\text{concentrate}\). Evaluate every representation card against this proportional relationship.

Card A: A ratio table with pairs \((0.8,~1.2)\), \((1.6,~2.4)\), \((2.4,~3.6)\)
Card B: A ratio table with pairs \((0.8,~1.2)\), \((1.2,~2.0)\), \((2.4,~3.6)\)
Card C: A double number line where water is \(0,~0.8,~1.6,~2.4\) and concentrate is \(0,~1.2,~2.4,~3.6\)
Card D: A double number line where water is \(0,~0.4,~0.8,~1.2\) and concentrate is \(0,~0.6,~1.2,~1.6\)
Card E: The statement “For \(2.0~\text{liters}~\text{of}~\text{water}\), you need \(3.0~\text{liters}~\text{of}~\text{concentrate}\).”
Card F: The statement “The ratio of water to concentrate is \(2~\text{to}~3\).”

Report the complete set of cards that matches \(0.8~\text{liters}~\text{of}~\text{water}\) for \(1.2~\text{liters}~\text{of}~\text{concentrate}\).

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Four variants of this problem type
Curriculum context
Standard
MF.PR.4
Category
Proportional Reasoning
Domain
Representations
Objective
Use ratio tables and double number lines to solve missing-value and scaling problems.
Problem type
Screen for matching proportional representations