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?

Back

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

Front

If Amy burns 240 calories in 1 hour, how many calories does she burn in 1 minute?

Back

4 calories per minute.

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or unit rate.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

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

Back

True.

Front

What is an example of a proportional relationship?

Back

If 2 apples cost $4, then 4 apples cost $8. The constant of proportionality is $2 per apple.

Front

What is a nonproportional relationship?

Back

A nonproportional relationship occurs when two quantities do not have a constant ratio or do not simplify to equivalent ratios.

Front

If a table shows values (2, 4), (3, 6), and (4, 8), is this a proportional relationship?

Back

Yes, because the ratio of y to x is constant (2:1).

Front

What is the formula to calculate the constant of proportionality?

Back

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