Proportional Relationships — Test

Question 21 • Grade 7 Mathematics

Which table of ordered pairs represents a proportional relationship?

Answer

Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 3'; Column 2, '5' Row 3: Column 1, 'negative 5'; Column 2, '3' Row 4: Column 1, 'negative 7'; Column 2, '1'

Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 4'; Column 2, 'negative 8' Row 3: Column 1, 'negative 6'; Column 2, 'negative 12' Row 4: Column 1, 'negative 8'; Column 2, 'negative 18'

Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 3'; Column 2, '12' Row 3: Column 1, 'negative 6'; Column 2, '24' Row 4: Column 1, 'negative 9'; Column 2, '36'

Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 2'; Column 2, '4' Row 3: Column 1, 'negative 4'; Column 2, '16' Row 4: Column 1, 'negative 6'; Column 2, '36'

Explanation

A proportional relationship has the same ratio y/x for every ordered pair. In table C, the ratios are 12/−3 = −4, 24/−6 = −4, and 36/−9 = −4. Since the ratio is constant, table C represents a proportional relationship.

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