Constant of Proportionality Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It is the same as the unit rate or unit price.

Front

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

Back

To find the constant of proportionality from a table, divide the values of one quantity by the corresponding values of the other quantity. If the ratio is constant, it represents a proportional relationship.

Front

What does it mean if two packs of pens have the same cost per pen?

Back

It means that the unit price (cost per pen) is the same for both packs, indicating a constant of proportionality between the total cost and the number of pens.

Front

If the price of bananas is represented by the equation y = 0.25x, what is the constant of proportionality?

Back

The constant of proportionality is $0.25, which means each banana costs $0.25.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

Front

How can you tell if a graph represents a proportional relationship?

Back

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

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together. It is the constant of proportionality expressed as a rate per one unit.

Front

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

Back

The constant of proportionality is 2/3, meaning for every 2 cups of flour, there are 3 cups of sugar.

Front

What is the relationship between unit price and constant of proportionality?

Back

The unit price is a specific example of the constant of proportionality, representing the cost per single unit of an item.

Front

If a table shows that 4 apples cost $2 and 8 apples cost $4, what is the constant of proportionality?

Back

The constant of proportionality is $0.50 per apple.