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 constant of proportionality?

Back

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

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if they can be simplified to the same fraction or if their cross products are equal.

Front

If a triangle has sides of 4.5 inches and 1.5 inches, what is the ratio of the sides?

Back

The ratio of the sides is 4.5:1.5, which simplifies to 3:1.

Front

What does it mean for a table to be proportional?

Back

A table is proportional if the ratios of the values in the table are constant.

Front

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

Back

You can find the constant of proportionality by identifying the slope of the line in the graph, which represents the ratio of the change in y to the change in x.

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

What is the equation of a proportional relationship?

Back

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

Front

If the constant of proportionality is 75, what does this mean?

Back

This means that for every unit increase in x, y increases by 75 units.

Front

How do you identify a non-proportional relationship?

Back

A non-proportional relationship can be identified if the ratios of the quantities are not constant or if the graph does not pass through the origin.