Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you determine if two ratios form a proportion?

Back

Two ratios form a proportion if the cross products are equal.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

What is the ratio of women to men in a class with 9 women and 3 men?

Back

3:1

Front

What is a non-proportional relationship?

Back

A non-proportional relationship does not maintain a constant ratio and does not pass through the origin.

Front

If the ratio of x to y is 2:3, what is the equivalent ratio if both are multiplied by 2?

Back

4:6

Front

What is the constant of proportionality?

Back

The constant of proportionality is the factor by which one quantity is multiplied to obtain another quantity in a proportional relationship.

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified if the ratios of corresponding values are constant.

Front

What is the relationship between the variables in a proportional graph?

Back

In a proportional graph, as one variable increases, the other variable increases at a constant rate.

Front

What does it mean if a graph is linear but not proportional?

Back

A linear graph that is not proportional does not pass through the origin, indicating a constant difference rather than a constant ratio.