Constant of Proportionality Practice

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, indicating how one quantity changes in relation to another.

Front

How do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality, divide the value of one quantity by the corresponding value of the other quantity for any pair of values.

Front

If Ben drinks 1/2 liter of tea every 2/3 of an hour, how much tea does he drink per hour?

Back

3/4 of a liter per hour.

Front

What is the unit rate?

Back

The unit rate is the constant of proportionality expressed as a quantity per one unit of another quantity.

Front

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

Back

$9.25 per hour.

Front

What does a constant of proportionality of k = 45 mean in a graph?

Back

It means that for every 1 hour, the boat travels 45 miles.

Front

True or False: The constant of proportionality is also the unit rate.

Back

True.

Front

Which of the following represents a proportional relationship: a table with values (2,4) and (4,8)?

Back

Yes, it represents a proportional relationship because the ratio is constant (2:4 = 1:2).

Front

What is the formula to calculate the constant of proportionality?

Back

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

Front

If a car travels 60 miles in 1 hour, what is the constant of proportionality?

Back

60 miles per hour.