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 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.

Front

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

Back

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

If g = 1/4w, what is the constant of proportionality?

Back

The constant of proportionality is 1/4.

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, it means that the ratio between the quantities is not constant.

Front

How do you find the constant of proportionality from a graph?

Back

The constant of proportionality can be found by determining the slope of the line that represents the relationship on a graph.

Front

What is the significance of the y-intercept in a proportional relationship?

Back

In a proportional relationship, the y-intercept is always zero, indicating that when one quantity is zero, the other quantity is also zero.

Front

Can a proportional relationship be represented by a linear equation?

Back

Yes, a proportional relationship can be represented by a linear equation that passes through the origin.

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.