Proportional Relationships Practice
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Proportional Relationships Practice
Task 1: Test the Tables
Reference: To test a proportional relationship, (1) calculate y/x, (2) check that the rate is constant, and (3) check that the relationship includes the origin, (0, 0).
Table A x: 2, 4, 6 y: 5, 10, 15
Table B x: 1/2, 1, 3/2 y: 3/4, 3/2, 9/4
Justification: Table ______ is proportional because ________________________________________________.
Task 2: Find the Constant and Equation
x: 4, 8, 12 y: 10, 20, 30
Find the constant of proportionality, k = y/x, and write an equation in the form y = kx.
k = ____________ Equation: __________________________
Explain how the table shows that the ratios are equivalent and the unit rate is constant.
Task 3: Match Situations to Equations
The proportional situations are __________________________________________ because __________________________________________.
Task 4: Interpret a Coordinate Graph
Graph A: The points (0, 0), (2, 6), (4, 12), and (6, 18) lie on one straight line.
Graph B: The points (0, 3), (2, 7), (4, 11), and (6, 15) lie on one straight line.
Final justification: Graph ______ is proportional because ________________________________________________. Graph ______ is not proportional because ________________________________________________.
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