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 do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio between the two quantities remains the same when comparing different pairs of values.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

Front

If 1 meter is approximately 1.09 yards, how many yards are in 3 meters?

Back

3.27 yards.

Front

If 1 meter is approximately 1.09 yards, how many yards are in 4.5 meters?

Back

4.905 yards.

Front

What is the formula to find the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a mini golf course charges $14.50 per round, how much would 3 rounds cost?

Back

$43.50.

Front

If a mini golf course offers unlimited rounds for $40, how much would you save by choosing this option over 3 rounds?

Back

You would save $3.50.

Front

How long would it take to run 5 laps if the pace is 4 laps in 28 minutes?

Back

It would take 35 minutes.

Front

What does it mean if a table shows a negative constant of proportionality?

Back

It means that as one quantity increases, the other quantity decreases.