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 does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates that when one variable is zero, the other variable is also zero, which is a characteristic of proportional relationships.

Front

How can you identify a proportional relationship in a graph?

Back

A proportional relationship in a graph can be identified if the graph is a straight line that passes through the origin.

Front

What is the constant of proportionality?

Back

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

Front

If a table shows the values (2,4), (3,6), (4,8), does it represent a proportional relationship?

Back

Yes, it represents a proportional relationship because the ratio of y to x is constant (2 in this case).

Front

What is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.

Front

What are the characteristics of a proportional relationship?

Back

1. It passes through the origin. 2. It is linear (straight line). 3. The ratio of y to x is constant.

Front

Can a curved line represent a proportional relationship?

Back

No, a curved line cannot represent a proportional relationship; it must be a straight line.

Front

If the constant of proportionality is 5, what is the value of y when x = 3?

Back

y = 5 * 3 = 15.

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship means that the ratio of the two quantities is not constant.