Proportional Relationships

Front

What is a proportional relationship?

Back

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

Front

What is the constant rate of change?

Back

The rate at which one quantity changes in relation to another, often represented as a slope in a graph.

Front

What does the constant of proportionality represent?

Back

The constant ratio in a proportional relationship, often denoted as 'k' in the equation y = kx.

Front

Which equation represents a proportional relationship?

Back

y = 7x.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship will show a straight line that passes through the origin (0,0).

Front

What is the formula for finding the constant of proportionality?

Back

k = y/x, where k is the constant of proportionality.

Front

If y = 3x, what is the constant of proportionality?

Back

3.

Front

What does it mean if a graph is not proportional?

Back

It means that the relationship between the two quantities does not maintain a constant ratio.

Front

How do you write an equation from a proportional relationship?

Back

Identify the constant of proportionality and use the form y = kx.

Front

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

Back

The relationship between distance and time when traveling at a constant speed.