Lesson 3.6: Proportional and Non-proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Front

How can you identify a proportional relationship from a table?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x is 0.

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the graph passes through the origin (0,0), indicating that when one quantity is zero, the other is also zero.

Front

What does a linear graph indicate about a relationship?

Back

A linear graph indicates a constant rate of change between the two quantities.

Front

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

Back

The slope of a line in a proportional relationship is constant and represents the rate of change.

Front

Can a proportional relationship be represented by a non-linear graph?

Back

No, a proportional relationship must be represented by a linear graph.

Front

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

Back

An example of a proportional relationship is the relationship between distance and time at a constant speed.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the relationship between the number of items purchased and the total cost when there is a fixed fee.