Introduction to Linear Functions — Quiz

Question 7 • 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, '0' Row 3: Column 1, '2'; Column 2, '6' Row 4: Column 1, '3'; Column 2, '16' Row 5: Column 1, '4'; Column 2, '30'

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

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

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '7' Row 3: Column 1, '2'; Column 2, '9' Row 4: Column 1, '3'; Column 2, '13' Row 5: Column 1, '4'; Column 2, '21'

Explanation

For a linear function, equal increases in x must produce a constant change in y. In choice C, as x increases by 1 each time, y goes from 1/2 to 1 to 1 1/2 to 2, increasing by 1/2 each time. So the table with y-values increasing by 1/2 represents a linear function.

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