Constant of Proportionality (no graph)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It remains constant as the quantities change.

Front

How do you find the constant of proportionality?

Back

To find the constant of proportionality, divide one quantity by the other when they are proportional. For example, if y = kx, then k = y/x.

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship to each other.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are expressed in terms of one unit. For example, if you earn $12 for 1 hour of work, the unit rate is $12 per hour.

Front

If the constant of proportionality is 3, what is the relationship between x and y in the equation y = kx?

Back

If k = 3, then y = 3x, meaning for every unit increase in x, y increases by 3.

Front

What is the unit rate for 36 miles in 1 hour?

Back

The unit rate is 36 miles per hour.

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 does a proportional relationship look like in a table?

Back

In a table, a proportional relationship will show that as one quantity increases, the other increases at a constant rate, maintaining the same ratio.

Front

If k = 1.50, what does this indicate about the relationship between the two quantities?

Back

It indicates that for every unit increase in one quantity, the other quantity increases by 1.50 times.

Front

What is the constant of proportionality if y = 5x?

Back

The constant of proportionality is 5.