6
QuizMultiple Choice

Introduction to Linear Functions

Question 6 • FL-1200370-Algebra 1-A Semester 1

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
T
The set must have a constant additive rate of change.
T
The set must have a constant multiplicative rate of change.
T
The values in the set must be positive.
T
The values in the set must be increasing.

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. A constant multiplicative rate of change describes exponential relationships instead. Linear data do not have to be positive or increasing; they can include negative values or decrease.

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