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MF.PR.5 Challenge MF-019-A12-V02

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. Equation: \(y~=~7x\)

B. Context: Let \(x\) be the number of movies watched in a month and let \(y\) be the monthly cost of the streaming service. The service costs \(\$15~\text{each}~\text{month}\) no matter how many movies are watched.

C. Graph: a straight line that goes through the points \((0,~2)\) and \((4,~10)\)

D. Table: \(x~=~3,~6,~9,~12~\text{and}~y~=~2,~4,~6,~8\)

E. Context: A bakery uses \(4~\text{cups}~\text{of}~\text{flour}~\text{for}~\text{every}~10~\text{muffins}\).

F. Equation: \(y~=~x/5~-~3\)

Six representation cards arranged in two rows. A shows the equation y = 7x. B is a streaming-service context with a fixed 15-dollar monthly cost regardless of movies watched. C is a graph of a line through points (0, 2) and (4, 10). D is a table with x values 3, 6, 9, 12 and y values 2, 4, 6, 8. E is a bakery context using 4 cups of flour for every 10 muffins. F shows the equation y = x/5 minus 3. 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