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 quantity is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the constant value that relates two proportional quantities, often represented as k = y/x.

Front

How do you write an equation for a proportional relationship?

Back

An equation for a proportional relationship can be written in the form p = kw, where p is the dependent variable, w is the independent variable, and k is the constant of proportionality.

Front

What does it mean if a table represents a proportional relationship?

Back

If a table represents a proportional relationship, the ratios of the corresponding values in the table are constant.

Front

How can you determine if a graph represents a proportional relationship?

Back

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

Front

What is the formula to find the constant of proportionality (k)?

Back

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

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 when traveling at a constant speed.

Front

What is the significance of the origin in a proportional relationship graph?

Back

The origin (0,0) is significant in a proportional relationship graph because it indicates that when the independent variable is zero, the dependent variable is also zero.

Front

Can a proportional relationship exist if the constant of proportionality is zero?

Back

Yes, a proportional relationship can exist with a constant of proportionality of zero, which means that the dependent variable is always zero regardless of the independent variable.

Front

What is the difference between a proportional relationship and a non-proportional relationship?

Back

A proportional relationship has a constant ratio between two quantities, while a non-proportional relationship does not maintain a constant ratio.