8
QuizMultiple Choice

Introduction to Linear Functions — Quiz

Question 8 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

A data set contains an independent and a dependent variable. Which must be true of the data set if a linear function can be used to represent the data?

Answer
A
The values in the set must be increasing.
B
The values in the set must be positive.
C
The set must have a constant multiplicative rate of change.
D
The set must have a constant additive rate of change.

Explanation

A linear function has a constant additive rate of change: for each equal increase in the independent variable, the dependent variable changes by the same amount. The data do not have to increase or be positive; a linear function can decrease or include negative values. A constant multiplicative rate of change instead describes exponential patterns.

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