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.

Question

Mathematics

Carina Madden

20 November, 08:49

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.

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Answers (1)

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Audrina · Answer 1

The set must have a constant additive rate of change.

Answer: Option A.

Explanation:

A function has an additive rate of change if there is a consistent distinction between any two successive information and yield esteems. From the primary table we can watch a consistent distinction of - 6 among the y-values and a steady contrast of 2 among the x-values.

A linear function has a consistent additive rate of change, while a nonlinear capacity doesn't. For a table of qualities to be direct, the needy variable must have a steady pace of progress as the autonomous variable increments by 1.