Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio or factor that relates two proportional quantities. It is often denoted by 'k'.

Front

How do you calculate the constant of proportionality from a given set of values?

Back

To calculate the constant of proportionality, divide one quantity by the other quantity it is proportional to (k = y/x).

Front

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

Back

To find the hourly wage, divide the total earnings by the total hours: $37 / 4 hours = $9.25 per hour.

Front

What does it mean if a relationship is proportional?

Back

A relationship is proportional if two quantities maintain a constant ratio to each other.

Front

In the equation y = kx, what does 'k' represent?

Back

In the equation y = kx, 'k' represents the constant of proportionality.

Front

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

Back

Yes, this is a proportional relationship because the ratio of y to x is constant (k = 3).

Front

What is the constant of proportionality if 624 calories are distributed over 3 servings?

Back

The constant of proportionality is 208 calories per serving (624 calories / 3 servings).

Front

How can you determine if a relationship is not proportional?

Back

A relationship is not proportional if the ratio of the two quantities changes or is not constant.

Front

What is the significance of the constant of proportionality in real-world applications?

Back

The constant of proportionality helps to understand and predict relationships between quantities in various real-world scenarios, such as speed, cost, and density.

Front

If a recipe requires 2 cups of flour for 4 servings, how much flour is needed per serving?

Back

To find the amount of flour per serving, divide the total flour by the number of servings: 2 cups / 4 servings = 0.5 cups per serving.