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 unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1. For example, 60 miles per 1 hour.

Front

How can you identify a proportional relationship from a graph?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin.

Front

What is the constant of proportionality?

Back

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

Front

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

Back

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

Front

What does it mean if a graph is linear but not proportional?

Back

It means the graph is a straight line but does not pass through the origin, indicating a constant rate of change that is not zero.

Front

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

Back

Divide the y-value by the corresponding x-value for any pair of values; if the ratio is constant, that value is 'k'.

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.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not.

Front

If a car travels 120 miles in 2 hours, what is the unit rate?

Back

60 miles per hour.