PAR.4.3 and PAR.4.4

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 is constant.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin, it indicates that when one quantity is zero, the other quantity is also zero, suggesting a proportional relationship.

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 graph?

Back

The point (1, 49) represents that at 1 hour of travel, the distance covered is 49 miles.

Front

If Melanie buys 2 seashells for $0.80, what is the cost per seashell?

Back

The cost per seashell is $0.40.

Front

What is the significance of a straight line in a graph representing a proportional relationship?

Back

A straight line indicates that the relationship between the two variables is consistent and proportional.

Front

What does it mean if a relationship is not proportional?

Back

A relationship is not proportional if the ratio between the quantities changes or if the graph 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, divide the output value by the input value for any pair of corresponding values.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is when a taxi fare includes a flat fee plus a charge per mile, which does not pass through the origin.