9
QuizMultiple Choice

Key Features of Linear Functions — Quiz

Question 9 • Financial Math

Each table represents a linear function. Which linear function has a positive slope?

Answer
A
Table with 2 columns and 3 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '3' Row 3: Column 1, '2'; Column 2, '1'
B
Table with 2 columns and 3 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '4' Row 3: Column 1, '2'; Column 2, '6'
C
Table with 2 columns and 3 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '1' Row 3: Column 1, '2'; Column 2, 'negative 1'
D
Table with 2 columns and 3 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '2' Row 3: Column 1, '2'; Column 2, '2'

Explanation

A slope is the change in y divided by the change in x. In choice B, x increases from 1 to 2 while y increases from 4 to 6, so the slope is (6 − 4) ÷ (2 − 1) = 2, which is positive. The other tables have negative or zero slopes.

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