Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

True or False: The constant of proportionality is also known as the unit rate.

Back

True

Front

If 4 pounds of bananas cost $100, what is the constant of proportionality?

Back

The constant of proportionality is 25, since $100 / 4 pounds = $25 per pound.

Front

True or False: The constant of proportionality can change depending on the quantities involved.

Back

False

Front

What does a graph of a proportional relationship look like?

Back

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

Front

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

Back

'k' represents the constant of proportionality.

Front

True or False: The x-axis in a proportional relationship graph can represent any variable.

Back

True, but it often represents the independent variable.

Front

If a table shows that 5 bags of luggage weigh 150 pounds, what is the constant of proportionality?

Back

The constant of proportionality is 30, since 150 pounds / 5 bags = 30 pounds per bag.

Front

What is the unit rate of a proportional relationship?

Back

The unit rate is the constant of proportionality expressed as a quantity per one unit of the other variable.

Front

True or False: The constant of proportionality can be found by dividing the dependent variable by the independent variable.

Back

True