Proportional Relationships with Tables

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 does the constant of proportionality (k) represent?

Back

The constant of proportionality (k) represents the ratio between two proportional quantities, indicating how much one quantity changes in relation to the other.

Front

How can you identify if a table shows a proportional relationship?

Back

A table shows a proportional relationship if the ratios of corresponding values (y/x) are the same for all pairs.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

If x = 3 and y = 12, what is the constant of proportionality (k)?

Back

k = y/x = 12/3 = 4.

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, the ratio of y to x changes, meaning the relationship does not maintain a constant rate.

Front

In a proportional relationship, if y = 15 when x = 5, what is k?

Back

k = y/x = 15/5 = 3.

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

If a table shows the values (2, 4), (4, 8), (6, 12), is it proportional?

Back

Yes, it is proportional because the ratio y/x = 2 for all pairs.

Front

What happens to the graph of a proportional relationship?

Back

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