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 ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

How can you determine if a relationship is proportional from a graph?

Back

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

Front

If a recipe calls for 3 ounces of flour for every 2 ounces of sugar, what is the constant of proportionality?

Back

The constant of proportionality is 2/3.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

In the equation y = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality.

Front

If a taxi ride costs $10 for 5 miles, what is the constant of proportionality?

Back

The constant of proportionality is $2 per mile.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is when a graph is a straight line but does not pass through the origin.

Front

How do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity.

Front

What does the point (1, 49) represent in a proportional relationship graph?

Back

The point (1, 49) represents 1 hour and being 49 miles from home.