Constant of Proportionality Review

Front

What is the constant of proportionality?

Back

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

What does 'y over x' represent in proportional relationships?

Back

'y over x' represents the ratio of the dependent variable (y) to the independent variable (x), which is the constant of proportionality.

Front

If the constant of proportionality is k = 5, what does this mean?

Back

This means that for every unit increase in x, y increases by 5 units.

Front

How can you express a unit rate?

Back

A unit rate is expressed as a quantity per one unit of another quantity, such as dollars per pound.

Front

What is the unit rate if you spend $40 on 5 pounds of concrete?

Back

The unit rate is $8 per pound.

Front

What is the formula to calculate the constant of proportionality?

Back

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

Front

How do you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are constant.

Front

What is the constant of proportionality for the graph where y = 40x?

Back

The constant of proportionality is 40.

Front

If you have a proportional relationship and k = 1/5, what does this indicate?

Back

This indicates that for every 1 unit increase in x, y increases by 1/5 units.