Constant of Proportionality Practice

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 find the constant of proportionality from a total and number of servings?

Back

Divide the total amount by the number of servings. For example, if there are 624 calories in 3 servings, the constant of proportionality is 624 ÷ 3 = 208 calories per serving.

Front

What does the equation y = kx represent?

Back

It represents a direct variation where y is directly proportional to x, with k being the constant of proportionality.

Front

If Craig earns $37 for 4 hours, what is his hourly rate?

Back

To find the hourly rate, divide the total earnings by the number of hours: $37 ÷ 4 = $9.25 per hour.

Front

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

Back

True.

Front

What is the unit rate of 624 calories in 3 servings?

Back

The unit rate is 208 calories per serving.

Front

If y = 30x, what is the constant of proportionality?

Back

The constant of proportionality is 30.

Front

How do you express a constant of proportionality in a mathematical equation?

Back

It is expressed in the form y = kx, where k is the constant of proportionality.

Front

What is the constant of proportionality if a car travels 150 miles in 3 hours?

Back

The constant of proportionality is 150 miles ÷ 3 hours = 50 miles per hour.

Front

If a recipe requires 2 cups of sugar for 4 servings, what is the constant of proportionality in cups per serving?

Back

The constant of proportionality is 2 cups ÷ 4 servings = 0.5 cups per serving.