Scaling & Proportions

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 does it mean if a graph passes through the origin (0,0)?

Back

If a graph passes through the origin (0,0), it indicates that the relationship is proportional.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Front

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

Back

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

Front

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

Back

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

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio between two quantities is not constant.

Front

How can you identify a non-proportional graph?

Back

A non-proportional graph does not pass through the origin and does not form a straight line.

Front

What happens to the constant of proportionality if one quantity is doubled?

Back

If one quantity is doubled in a proportional relationship, the other quantity will also double, maintaining the constant ratio.

Front

What is the formula for finding 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.

Front

If a graph is a straight line but does not pass through the origin, is it proportional?

Back

No, if a graph is a straight line but does not pass through the origin, it is non-proportional.