Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (m) that relates two proportional quantities, often represented as y = mx.

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.

Front

What does a graph of a proportional relationship look like?

Back

A graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

If m = 9, what does this mean in a proportional relationship?

Back

It means that for every unit increase in one quantity, the other quantity increases by 9 times that amount.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = mx, where m is the constant of proportionality.

Front

How can you tell if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are equal.

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

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship means that the ratio between the two quantities is not constant.

Front

How do you simplify a fraction to find the constant of proportionality?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).