Problem preview
MF.PR.6 Challenge MF-020-A12-V04

Find and interpret the constant of proportionality in multiple representations.

Match representations by constant of proportionality

Problem

Calculate the constant of proportionality for the graph through the origin and \((3,~2)\), then evaluate every card against it.

Card A: Equation \(y~=~2/3~x\)
Card B: Table with \(x\)-values \(6\), \(9\), \(15\) and \(y\)-values \(4\), \(6\), \(10\)
Card C: Context: In a proportional relationship, the time \(y\) is \(2~\text{hours}\) when the distance \(x\) is \(3~\text{miles}\).
Card D: Equation \(y~=~3/2~x\)
Card E: Table with \(x\)-values \(1.5\), \(3\), \(4.5\) and \(y\)-values \(1\), \(2\), \(3\)
Card F: Context: In a proportional relationship, the number of cartridges \(y\) is \(8\) when the number of boxes of paper \(x\) is \(12\).
Card G: Graph of \(y\) versus \(x\) passing through the origin and the point \((6,~3)\)

Report the complete set of cards with the same constant of proportionality as the reference graph.

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Four variants of this problem type
Curriculum context
Standard
MF.PR.6
Category
Proportional Reasoning
Domain
Representations
Objective
Find and interpret the constant of proportionality in multiple representations.
Problem type
Match representations by constant of proportionality