Proportional Relationships Practice

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Part 1: Test the Tables

Vocabulary reminder: A constant unit rate means that y ÷ x has the same value in every row. The origin is the point (0, 0).

1. Calculate y ÷ x for every row in each table. Then classify each relationship as proportional or nonproportional.

Table A: (x, y) = (1, 4), (2, 8), (3, 12), (5, 20)

y ÷ x = ______, ______, ______, ______

Classification: ____________________________

Table B: (x, y) = (1, 4), (2, 8), (3, 13), (5, 20)

y ÷ x = ______, ______, ______, ______

Classification: ____________________________

2. Analyze the coordinate graphs described below. For each one, decide whether the points form a straight line through the origin.

Graph A: The axes are labeled x = miles and y = dollars. The plotted points are (0, 0), (1, 3), (2, 6), and (3, 9).

Proportional or nonproportional? ____________________

Does it form a straight line through the origin? ____________________

Graph B: The axes are labeled x = miles and y = dollars. The plotted points are (0, 0), (1, 3), (2, 6), and (3, 8).

Proportional or nonproportional? ____________________

Does it form a straight line through the origin? ____________________

3. Complete the proportional table. Use the constant unit rate.

x: 1, 3, 5, 8

y: 6, 18, ______, 48

4. Write a short justification for one of your answers. Use equivalent ratios, a constant unit rate, or graph evidence.

The relationship is proportional/nonproportional because...