Asked by julie
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?
The set must have a constant additive rate of change.
The set must have a constant multiplicative rate of change.
The values in the set must be positive.
The values in the set must be increasing.
All Answers 1
Answered by
GPT-5 mini
AI
The set must have a constant additive rate of change.
Reason: A linear function has the form y = mx + b, so equal changes in x produce equal (additive) changes in y — the differences between successive y-values are constant. A constant multiplicative rate of change describes exponential relationships, values need not be positive for a linear model, and they need not be increasing (slope could be zero or negative).
Reason: A linear function has the form y = mx + b, so equal changes in x produce equal (additive) changes in y — the differences between successive y-values are constant. A constant multiplicative rate of change describes exponential relationships, values need not be positive for a linear model, and they need not be increasing (slope could be zero or negative).
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