4
QuizMultiple Choice

Constructing Linear Functions

Question 4 • 2025-2026_MDCPS_1205070-M/J Grade 8 Pre-Algebra Sem 1-CR

The table below represents the number of math problems Jana completed as a function of the number of minutes since she began doing her homework. Does this situation represent a linear or non-linear function, and why?Jana’s Math Homework ProgressMinutesMath Problems Completed1327312416519

Answer
A
It represents a linear function because there is a constant rate of change.
B
It represents a linear function because there is not a constant rate of change.
C
It represents a non-linear function because there is a constant rate of change.
D
It represents a non-linear function because there is not a constant rate of change.

Explanation

The table gives the pairs (1, 3), (2, 7), (3, 12), (4, 16), and (5, 19). Each time interval is 1 minute, but the number of additional problems completed is 4, 5, 4, and 3, so the rate of change is not constant. Therefore, it represents a non-linear function: choice D.

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