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

A

Explanation:

Answer 2

When we have dependent and independent variables we will have a linear relationship.

Let x be the independent variable and y be the dependent variable.

To write the relationship we will have :

y = kx + c

Where k and c are constants.

In the case of a line the constant k is the gradient.

A multiplicative change is a log form and it is given by :

Y = Ck^x

The relationship is not linear but exponential.

The correct answer is thus :

Additive rate of change.