Problem preview
MF.PR.6 Challenge MF-020-A12-V02

Find and interpret the constant of proportionality in multiple representations.

Match representations by constant of proportionality

Problem

Calculate the constant of proportionality for Card T, then evaluate every other card against it.

Card T: Table with \(x\text{-}\text{values}\) \(4\), \(8\), \(12\) and \(y\text{-}\text{values}\) \(3\), \(6\), \(9\)
Card A: Equation \(y~=~0.75x\)
Card B: Context: In a proportional relationship, the amount of flour \(y\) is \(6~\text{cups}\) when the number of batches \(x\) is \(8\).
Card C: Graph passing through the origin and the point \((6,~8)\)
Card D: Table with \(x\text{-}\text{values}\) \(2\), \(4\), \(10\) and \(y\text{-}\text{values}\) \(1.5\), \(3\), \(7.5\)
Card E: Equation \(y~=~4/3~x\)
Card F: Context: In a proportional relationship, the amount filled \(y\) is \(9~\text{liters}\) when the time \(x\) is \(12~\text{minutes}\).

Report the complete set of cards with the same constant of proportionality as Card T.

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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