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Question 8 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which table represents a linear function?

Answer

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 2' Row 3: Column 1, '2'; Column 2, 'negative 6' Row 4: Column 1, '3'; Column 2, 'negative 2' Row 5: Column 1, '4'; Column 2, 'negative 6'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 2' Row 3: Column 1, '2'; Column 2, 'negative 5' Row 4: Column 1, '3'; Column 2, 'negative 9' Row 5: Column 1, '4'; Column 2, 'negative 14'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 2' Row 3: Column 1, '2'; Column 2, 'negative 10' Row 4: Column 1, '3'; Column 2, 'negative 18' Row 5: Column 1, '4'; Column 2, 'negative 26'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 2' Row 3: Column 1, '2'; Column 2, 'negative 4' Row 4: Column 1, '3'; Column 2, 'negative 8' Row 5: Column 1, '4'; Column 2, 'negative 16'

Explanation

A linear function has a constant rate of change. In table A, each time x increases by 1, y decreases by 8: −2, −10, −18, and −26. The constant change of −8 means table A represents a linear function.

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