Identifying 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 the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented by 'k'.

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 it mean if a table is not proportional?

Back

If a table is not proportional, it means the ratios of the values do not remain constant.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality expressed as a ratio of one quantity to one unit of another quantity.

Front

If the constant of proportionality is 40, what does this imply?

Back

This implies that for every unit increase in the independent variable, the dependent variable increases by 40.

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.

Front

How do you determine the constant of proportionality from a graph?

Back

The constant of proportionality can be determined by finding the slope of the line that passes through the origin.

Front

What does it mean for a relationship to be proportional in terms of graphs?

Back

A proportional relationship is represented by a straight line that passes through the origin on a graph.

Front

If a table shows values (2, 4), (3, 6), (4, 8), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (y/x = 2).