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

How do you determine if a table of values is proportional?

Back

A table of values is proportional if the ratio of the y-values to the x-values is constant for all pairs of values.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

If a box of cereal costs $3.59 for 30 oz, how do you find the unit rate per ounce?

Back

Divide the total cost by the total ounces: $3.59 ÷ 30 oz = $0.1197, which rounds to 12 cents per ounce.

Front

What does the equation y = kx represent?

Back

This equation represents a direct variation where 'y' is directly proportional to 'x' with 'k' being the constant of proportionality.

Front

If the constant of proportionality is $9 per hour, what does this mean?

Back

It means for every hour, the cost is $9, indicating a direct relationship between time and cost.

Front

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

Back

To find the constant of proportionality, divide the y-value by the corresponding x-value for any pair of values in the table.

Front

What is the unit rate of 3/4 cup of brown sugar for every 3 eggs?

Back

The unit rate is 4 eggs per cup, meaning for every cup of brown sugar, you can use 4 eggs.

Front

What is a proportional relationship?

Back

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

Front

How do you write an equation from a proportional relationship?

Back

You can write the equation in the form y = kx, where 'k' is the constant of proportionality.