Question

A data set contains an independent and 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.

Answer 1

The Answer is A. The set must have a constant additive rate of change. I just got done with that test and verified that answer. :)

Answer 2

Answer:- The set must have a constant additive rate of change.

Explanation:-

Let X be a data set contains an independent and dependent variable.

The standard linear function is given by

`y=mx+c` , where x is a independent variable and y is a dependent variable and m,c are the constants.

for m =1, y=x+c

for m=2, y=2x+c=x+x+c

for m=3, y=3x+c=x+x+x+c

1.Thus ,the set must have a constant additive rate of change.

2.The set must not have a constant multiplicative rate of change as the function will become exponential function given by
`y=Ab^X` which is not linear .

3.The values in the set can be positive or negative as the domain for linear function is the set of real numbers.

4.The values in the set must be increasing it is not necessary.