Question

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.

Answer 1

option (a)

The set must have a constant additive rate of change.

Step-by-step explanation:

we have a independent and a dependent variable

thus we have a linear relationship

let x be the independent variable and y b the dependent variable

the equation is

y = kx + c

where k and c are the constants

in case of  a line the k is gradient

A multiplicative change is

$Y = CK^x$

The relationship is not linear , it is exponential

thus ,

option (a)

The set must have a constant additive rate of change.

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