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

How can you identify a proportional relationship from a graph?

Back

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

Front

What does a non-proportional relationship look like on a graph?

Back

A non-proportional relationship may appear as a straight line that does not pass through the origin or as a curve.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant in proportional relationships because it indicates that when one quantity is zero, the other quantity is also zero.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

How can you determine if a table of values represents a proportional relationship?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Front

Can a proportional relationship be represented by a linear equation?

Back

Yes, a proportional relationship can be represented by a linear equation in the form y = kx.

Front

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

Back

An example of a proportional relationship in real life is the relationship between distance and time when traveling at a constant speed.

Front

What happens to the graph of a proportional relationship if the constant of proportionality changes?

Back

If the constant of proportionality changes, the slope of the line on the graph will change, but it will still pass through the origin.