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 equation used to represent proportional relationships?

Back

y = kx, where k is the constant of proportionality.

Front

What does the constant 'k' represent in the equation y = kx?

Back

The constant 'k' represents the ratio of y to x in a proportional relationship.

Front

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

Back

If the ratio of y to x is constant for all pairs of values, then the relationship is proportional.

Front

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

Back

A proportional relationship must start at the origin (0,0) on a graph.

Front

What does it mean if a graph does not start at the origin?

Back

If a graph does not start at the origin, it does not represent a proportional relationship.

Front

How can you determine if two quantities are proportional using ratios?

Back

If the ratio y/x is constant for all pairs of values, then the quantities are proportional.

Front

What is the formula for finding the constant of proportionality from a proportional relationship?

Back

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

The relationship between distance and time when traveling at a constant speed.

Front

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

Back

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