Introduction to Linear Functions — Quiz

Question 4 • 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, '3' Row 3: Column 1, '2'; Column 2, '9' Row 4: Column 1, '3'; Column 2, '3' Row 5: Column 1, '4'; Column 2, '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, '9' Row 4: Column 1, '3'; Column 2, '27' Row 5: Column 1, '4'; Column 2, '81'

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, '7' Row 4: Column 1, '3'; Column 2, '11' Row 5: Column 1, '4'; Column 2, '15'

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, '8' Row 4: Column 1, '3'; Column 2, '15' Row 5: Column 1, '4'; Column 2, '21'

Explanation

A table represents a linear function when equal increases in x produce equal changes in y. In choice D, x increases by 1 each time, and y increases by 4 each time: 3, 7, 11, 15. The constant rate of change means choice D, the table with y-values 3, 7, 11, and 15, represents a linear function.

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