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

How can you identify a proportional relationship from a table?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

Front

If y = kx, what does 'k' represent?

Back

'k' represents the constant of proportionality in the equation.

Front

What is the reciprocal of a number?

Back

The reciprocal of a number is 1 divided by that number.

Front

Is the equation y = 3x proportional?

Back

Yes, because it can be expressed as y = kx where k = 3.

Front

Is the equation y = 5x - 7 proportional?

Back

No, because it does not pass through the origin and has a constant term.

Front

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

Back

A non-proportional table has varying ratios between corresponding values.

Front

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

Back

Divide the value of y by the value of x for any pair of corresponding values.

Front

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

Back

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