Which of the following correctly describes a linear relationship?

Study for the HSC Mathematics Standard 2 Exam. Utilize flashcards and multiple choice questions, each with hints and explanations. Prepare confidently for your exam success!

A linear relationship is characterized by a constant rate of change between two variables. This means that as one variable increases or decreases, the other variable does so at a consistent rate, resulting in a straight line when graphed. In this context, the option that states "The change between variables is consistent" accurately captures the essence of linear relationships.

In linear relationships, the slope is constant, which implies that for any given change in the independent variable, there is a proportional and steady change in the dependent variable. This consistent change is what distinguishes linear relationships from other types of relationships, such as exponential or nonlinear.

The other choices do not reflect the properties of linear relationships. While the first choice refers to a negative correlation, it does not imply a linear relationship since it could represent a linear relationship with a negative slope. The third option describes an exponential relationship, which involves variables changing in a non-linear manner. The last choice indicates no correlation, which is also not applicable to linear relationships where some degree of correlation always exists. Hence, the correct choice precisely defines the characteristic of a linear relationship.

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy