Proportional Relationships with Equations

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 constant of proportionality (COP)?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

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 equation of a proportional relationship?

Back

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

Front

If the constant of proportionality is 6, what is the equation of the relationship?

Back

The equation would be y = 6x.

Front

What does it mean if a table has a constant of proportionality of 12?

Back

It means that for every unit increase in x, y increases by 12 units.

Front

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

Back

You can find the constant of proportionality by determining the slope of the line that represents the relationship on the graph.

Front

What is the significance of the constant of proportionality in real-world applications?

Back

The constant of proportionality helps to understand how two quantities are related and can be used to make predictions.

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 everyday life?

Back

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