Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities. It is often represented by 'k' in the equation y = kx.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if Brian reads 30 words in 1 minute, his unit rate is 30 words per minute.

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. This means that as one quantity increases, the other quantity increases at a consistent rate.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where 'k' is the constant of proportionality.

Front

If Ben drinks 1/2 liter of tea every 2/3 of an hour, how much does he drink in one hour?

Back

Ben drinks 3/4 of a liter per hour.

Front

What is the unit rate of 60 minutes per word?

Back

The unit rate of 60 minutes per word means it takes 60 minutes to read one word, which is very slow.

Front

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

Back

To identify the constant of proportionality from a table, divide the output value by the input value for any pair of corresponding values. If the result is constant, that value is 'k'.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is speed. If a car travels 60 miles in 1 hour, it will travel 120 miles in 2 hours, maintaining a constant speed.

Front

What does 'k = 2' signify in a proportional relationship?

Back

'k = 2' signifies that for every unit increase in x, y increases by 2 units.

Front

Write the equation for a proportional relationship where the constant of proportionality is 18.50.

Back

The equation is y = 18.50x.