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 is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k' in the equation 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 constant.

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means that the unit rate is not constant or it does not pass through the origin.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Front

What is the unit rate for 1/2 gallon of gas costing $1.50?

Back

The unit rate is $3.00 per gallon.

Front

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

Back

To find the constant of proportionality from a table, divide the output value by the input value 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 cost of apples per pound; if 1 pound costs $2, then 2 pounds cost $4.

Front

What happens to the graph of a proportional relationship?

Back

The graph of a proportional relationship is a straight line that passes through the origin.