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

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

Back

A table represents a proportional relationship if the ratios of the corresponding values are equal.

Front

What is the constant of proportionality?

Back

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

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope represents the constant of proportionality between the two variables.

Front

If a table shows values (2, 4), (3, 6), (4, 8), is it proportional?

Back

Yes, because the ratios (2:4, 3:6, 4:8) are all equal to 1:2.

Front

What is a unit rate?

Back

A unit rate is a rate in which the denominator is 1.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope = (y2 - y1) / (x2 - x1).

Front

If the constant of proportionality is 45, what does this mean in a real-world context?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by 45 units.

Front

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

Back

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

Front

If a graph passes through the origin, what can you say about the relationship?

Back

If a graph passes through the origin, it indicates a proportional relationship.