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MF.PR.5 Challenge MF-019-A12-V04

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 does not show proportional relationships.

A. Table: \(x~=~1,~3,~5,~7\) and \(y~=~6,~18,~30,~42\)

B. Equation: \(y~=~2.5x~+~2.5\)

C. Context: The total cost \(y\) for \(x\) tickets is \(\$9~\text{for}~\text{each}~\text{ticket}\).

D. Graph: a straight line that passes through the origin and the point \((6,~4)\)

E. Context: A babysitter's total pay is \(\$14~\text{per}~\text{hour}\) plus a \(\$5~\text{transportation}~\text{payment}\).

F. Table: \(x~=~2,~4,~6,~8\) and \(y~=~1,~2,~3,~4\)

G. Graph: a straight line that passes through the points \((0,~-3)\) and \((2,~1)\)

Seven clearly separated cards labeled A through G. A is a table with x values 1, 3, 5, 7 and y values 6, 18, 30, 42. B is the equation y = 2.5x + 2.5. C is a ticket-cost context saying total cost y for x tickets is 9 dollars for each ticket. D is a graph of a line through the origin and the point (6, 4). E is a babysitter-pay context with 14 dollars per hour plus a 5-dollar transportation payment. F is a table with x values 2, 4, 6, 8 and y values 1, 2, 3, 4. G is a graph of a line through points (0, -3) and (2, 1). 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