Constant of Proportionality Practice

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two quantities that are directly proportional to each other. It is often represented as 'k' in the equation y = kx.

Front

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

Back

3/4 of a liter per hour.

Front

How do you find the constant of proportionality from a given number of servings and total amount?

Back

Divide the total amount by the number of servings. For example, 624 calories in 3 servings gives 624 ÷ 3 = 208 calories per serving.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if two quantities maintain a constant ratio or rate. This means that as one quantity increases or decreases, the other does so in a consistent manner.

Front

Identify the constant of proportionality in the relationship: 0.5 swings per day.

Back

0.5 swings per day.

Front

What is the formula to determine if two quantities are proportional?

Back

The formula is y = kx, where k is the constant of proportionality.

Front

If a table shows values of (2, 6), (4, 12), and (6, 18), is this a proportional relationship?

Back

Yes, the constant of proportionality is 3 (since 6/2 = 12/4 = 18/6 = 3).

Front

What is the constant of proportionality if 15 apples cost $3?

Back

The constant of proportionality is $0.20 per apple (3 ÷ 15 = 0.20).

Front

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

Back

If the ratios of the corresponding values are constant, then the table represents a proportional relationship.

Front

What is the constant of proportionality for the equation y = 5x?

Back

The constant of proportionality is 5.