Constant of Proportionality Review

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 unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if there are 624 calories in 3 servings, the unit rate is 624 ÷ 3 = 208 calories per serving.

Front

What does it mean if a relationship is proportional?

Back

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

Front

Write an equation for a proportional relationship where the constant of proportionality is 19.25.

Back

y = 19.25x

Front

In the equation y = 14x, what does the number 14 represent?

Back

The number 14 represents the constant of proportionality.

Front

What is the unit rate of 1,000 calories in 5 servings?

Back

200 calories per serving (1,000 ÷ 5 = 200).

Front

If y = 18.50x, what is the constant of proportionality?

Back

18.50

Front

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

Back

Check if the ratios of corresponding values are constant. If they are, the relationship is proportional.

Front

Write an equation for a situation where the constant of proportionality is 22.

Back

y = 22x

Front

What is the unit rate of 450 miles in 9 hours?

Back

50 miles per hour (450 ÷ 9 = 50).