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.
The set must have a constant additive rate of change.
Answer: Option A.
<u>Explanation:</u>
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.