Introduction to Linear Functions — Quiz

Question 3 • 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 5' Row 3: Column 1, '2'; Column 2, '0' Row 4: Column 1, '3'; Column 2, '5' Row 5: Column 1, '4'; Column 2, '10'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '5' Row 3: Column 1, '2'; Column 2, '10' Row 4: Column 1, '3'; Column 2, '20' Row 5: Column 1, '4'; Column 2, '40'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 5' Row 3: Column 1, '2'; Column 2, '10' Row 4: Column 1, '3'; Column 2, 'negative 15' Row 5: Column 1, '4'; Column 2, '20'

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

Explanation

A linear function has a constant rate of change. In choice A, each time x increases by 1, y increases by 5: from −5 to 0, 0 to 5, and 5 to 10. The other tables do not have a constant change in y for equal increases in x, so the table with y-values −5, 0, 5, and 10 represents a linear function.

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