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 it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates that there is a proportional relationship between the variables represented on the graph.

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.

Front

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

Back

In a proportional relationship, the point (1, 49) represents that at 1 hour, the distance traveled is 49 miles.

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 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 does it mean if a graph is not a straight line?

Back

If a graph is not a straight line, it indicates that the relationship between the variables is not proportional.

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 y by the value of x for any pair of corresponding values.

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.