L3, S1 Understanding 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 quantity is constant.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the unit rate or the factor by which one quantity changes in relation to another.

Front

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

Back

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

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the value of k in the equation y = kx, representing how much y changes for each unit change in x.

Front

If y = 45x, what is the unit rate?

Back

The unit rate is 45.

Front

If a table shows values (2, 6), (4, 12), (6, 18), does it represent a proportional relationship?

Back

Yes, because the ratios (y/x) are constant: 3.

Front

What is the missing value of B if A = 3 and the proportional relationship is y = 11A?

Back

B = 33.

Front

How do you find the missing value in a proportional relationship?

Back

You can find the missing value by setting up a proportion and solving for the unknown.

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.