Identify Proportional Relationships and Constants

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

What is the constant of proportionality?

Back

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

Front

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

Back

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

Front

If a table has values (2, 6) and (4, 12), is it proportional?

Back

Yes, because the ratio 6/2 = 3 and 12/4 = 3, which are equal.

Front

What is the constant of proportionality for the table: (1, 3), (2, 6), (3, 9)?

Back

The constant of proportionality is 3.

Front

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

Back

$9.25 per hour.

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship does not have a constant ratio between the quantities.

Front

Is the relationship between hours worked and pay earned always proportional?

Back

Not always; it depends on whether the pay rate is constant.

Front

What is the formula to find the constant of proportionality?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a table shows (5, 15) and (10, 30), what is the constant of proportionality?

Back

The constant of proportionality is 3.