Proportional vs. Nonproportional

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio to each other, meaning that as one quantity increases or decreases, the other does so in a consistent manner.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, meaning that the relationship does not maintain a consistent rate of change.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line passes through the origin (0,0) and is straight.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is a constant.

Front

What is the significance of the slope in a proportional relationship?

Back

In a proportional relationship, the slope represents the constant ratio between the two quantities.

Front

If y = 3x, is this relationship proportional or non-proportional?

Back

Proportional.

Front

If a graph does not pass through the origin, what can be inferred about the relationship?

Back

It is a non-proportional relationship.

Front

What does it mean if a graph is linear?

Back

A linear graph represents a relationship that can be described by a linear equation, showing a constant rate of change.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.