Constant of Proportionality Practice

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k'.

Front

How do you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratios of the corresponding values are constant.

Front

If k = 1.50, what does this mean in a proportional relationship?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by 1.50.

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

Back

$9.25 per hour.

Front

What does it mean if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant slope.

Front

What is the constant of proportionality if a boat travels 45 miles in 1 hour?

Back

k = 45 miles per hour.

Front

How can you tell if a graph is not proportional?

Back

A graph is not proportional if it does not pass through the origin or if the slope is not constant.

Front

What is the relationship between the constant of proportionality and the slope of a line?

Back

The constant of proportionality is equal to the slope of the line in a proportional relationship.

Front

If a table shows values (2, 6), (4, 12), (6, 18), is it proportional?

Back

Yes, the constant of proportionality is 3 (y = 3x).