Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities. It is often represented by 'k' in the equation y = kx.

Front

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

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity. If the ratio is constant, the relationship is proportional.

Front

If y = 2x, what is the constant of proportionality?

Back

The constant of proportionality is 2.

Front

What does it mean if a relationship is not proportional?

Back

A relationship is not proportional if the ratio of the two quantities is not constant.

Front

If the Williams family bought 4 concert tickets for $252, what is the price per ticket?

Back

The price per ticket is $63.00.

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

In a proportional relationship, if x doubles, what happens to y?

Back

In a proportional relationship, if x doubles, y also doubles.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

If k = 4, what does this imply about the relationship between x and y?

Back

It implies that for every unit increase in x, y increases by 4 units.

Front

What is the significance of the constant of proportionality in equations?

Back

The constant of proportionality indicates how much one quantity changes in relation to another quantity.