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MF.PR.5 Challenge MF-019-A12-V03

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

Screen a mixed set for proportional relationships

Problem

Evaluate every representation below for proportionality. Report the complete set that shows proportional relationships.

A. Graph: a line through the points \((0,~0)\), \((2,~5)\), and \((4,~10)\)

B. Graph: a line through the points \((0,~1)\) and \((3,~7)\)

C. Equation: \(y~=~0.75x\)

D. Table: \(x~=~2,~5,~8,~11\) and \(y~=~6,~15,~24,~33\)

E. Context: The total cost to rent a car is \(\$45~\text{per}~\text{day}\) plus a \(\text{one}\text{-}\text{time}~\text{cleaning}~\text{fee}~\text{of}~\$20\).

F. Table: \(x~=~4,~8,~12,~16\) and \(y~=~9,~18,~27,~35\)

Six cards labeled A through F. A is a graph of a line through points (0, 0), (2, 5), and (4, 10). B is a graph of a line through points (0, 1) and (3, 7). C is the equation y = 0.75x. D is a table with x values 2, 5, 8, 11 and y values 6, 15, 24, 33. E is a car-rental context with 45 dollars per day plus a one-time cleaning fee of 20 dollars. F is a table with x values 4, 8, 12, 16 and y values 9, 18, 27, 35. Open full size
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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
Screen a mixed set for proportional relationships