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 tell if a table represents a proportional relationship?

Back

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

Front

What does the ordered pair (x, y) represent in a proportional relationship?

Back

In a proportional relationship, (x, y) represents the quantities where y is proportional to x.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio (k) between two proportional quantities, expressed as y = kx.

Front

If a machine folds 3000 sheets in 20 minutes, how many sheets does it fold in 1 minute?

Back

150 sheets.

Front

Is the graph of a proportional relationship a straight line?

Back

Yes, the graph of a proportional relationship is a straight line that passes through the origin.

Front

What is the formula for finding the constant of proportionality?

Back

k = y/x, where k is the constant of proportionality.

Front

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

Back

$12 per driveway.

Front

If a table shows the values (2, 4), (3, 6), (4, 8), does it represent a proportional relationship?

Back

Yes, because the ratios (y/x) are all equal to 2.

Front

What happens to the graph of a proportional relationship if the constant of proportionality is negative?

Back

The graph will still be a straight line, but it will slope downwards.