Problem preview
MF.PR.4 Challenge MF-018-A12-V03

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

Screen for matching proportional representations

Problem

At a school fundraiser, \(3~\text{bracelets}\) cost \(\$4.50\). Evaluate every representation card against this proportional relationship.

Card A: A ratio table with pairs \((3,~4.50)\), \((6,~9.00)\), \((9,~13.50)\)
Card B: A ratio table with pairs \((2,~3.00)\), \((5,~7.50)\), \((8,~12.50)\)
Card C: A double number line where bracelets are \(0\), \(3\), \(6\), \(12\) and dollars are \(0\), \(4.50\), \(9.00\), \(18.00\)
Card D: A double number line where bracelets are \(0\), \(3\), \(5\), \(9\) and dollars are \(0\), \(4.50\), \(7.00\), \(13.50\)
Card E: The statement “\(\text{One}~\text{bracelet}\) costs \(\$1.50\).”
Card F: The value pair \((10~\text{bracelets},~\$15.00)\)
Card G: The value pair \((10~\text{bracelets},~\$16.00)\)

Report the complete set of cards that matches \(3~\text{bracelets}\) for \(\$4.50\).

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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