Flashcard: 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 a graph of a proportional relationship look like?

Back

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

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality is the coefficient 'k' in the equation y = kx.

Front

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

Back

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

Front

What is the significance of the point (0,0) in a proportional relationship?

Back

The point (0,0) indicates that when one quantity is zero, the other quantity is also zero, which is a characteristic of proportional relationships.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

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

Back

The constant of proportionality can be found by determining the slope of the line, which is the change in y divided by the change in x.

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 formula for finding the constant of proportionality from a set of values?

Back

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

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a constant ratio.