Introduction to Linear Functions — Quiz

Question 2 • 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 4' Row 4: Column 1, '3'; Column 2, 'negative 2' Row 5: Column 1, '4'; Column 2, '0'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 3' Row 3: Column 1, '2'; Column 2, 'negative 5' Row 4: Column 1, '3'; Column 2, 'negative 7' Row 5: Column 1, '4'; Column 2, 'negative 9'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '3' Row 3: Column 1, '2'; Column 2, '6' Row 4: Column 1, '3'; Column 2, '12' Row 5: Column 1, '4'; Column 2, '24'

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

Explanation

A linear function has a constant rate of change: when x increases by 1, y must change by the same amount each time. In choice B, the y-values change by −2 each step: −3, −5, −7, −9. The other tables do not have a constant change in y.

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