D.4 Review: 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 does it mean if a table is non-proportional?

Back

A table is non-proportional if the ratios of the corresponding values are not equal.

Front

What is the constant of proportionality?

Back

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

Front

If y is directly proportional to x, what is the equation that represents this relationship?

Back

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

Front

What does a proportional graph look like?

Back

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

Front

What does a non-proportional graph look like?

Back

A non-proportional graph does not pass through the origin and may be curved or not a straight line.

Front

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

Back

Yes, it is proportional because the ratio of y to x is constant (2:1).

Front

If a table shows the values (1, 2), (2, 5), (3, 7), is it proportional?

Back

No, it is non-proportional because the ratios are not constant.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.