Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How can you identify a proportional relationship from a table?

Back

A table represents a proportional relationship if the ratios of the corresponding values are equal.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often expressed in the equation p = kw.

Front

If a machine folds 3,000 sheets in 20 minutes, what is the rate of sheets per minute?

Back

The rate is 150 sheets per minute (3000 sheets ÷ 20 minutes).

Front

How do you calculate the total earnings based on a rate?

Back

Total earnings can be calculated by multiplying the rate of pay by the number of units worked.

Front

What is the formula to find the constant of proportionality?

Back

The formula is k = p/w, where p is the price and w is the weight.

Front

If Perry earned $96 for 8 driveways, how much does he earn per driveway?

Back

He earns $12 per driveway ($96 ÷ 8 driveways).

Front

What is the equation for a job that pays $56 for 8 hours of work?

Back

The equation is p = 7h, where p is pay and h is hours worked.

Front

How do you determine if a relationship is not proportional?

Back

A relationship is not proportional if the ratios of the quantities are not constant.

Front

What does the ordered pair (20, 3000) indicate in a proportional relationship?

Back

It indicates that the machine folds 3,000 sheets in 20 minutes.