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 quantity is constant.

Front

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

Back

A non-proportional graph does not have a constant ratio between the x and y values, and it does not pass through the origin (0,0).

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity per one unit of another quantity.

Front

How can you identify a proportional relationship on a graph?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

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

Back

The unit rate is 60 miles per hour.

Front

What does it mean for a line to be straight in a graph?

Back

A straight line in a graph indicates a constant rate of change between the two variables.

Front

What is the significance of the point (0,0) in a proportional graph?

Back

The point (0,0) signifies that when one quantity is zero, the other quantity is also zero, which is a key characteristic of proportional relationships.

Front

How do you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equal when comparing different pairs of values.

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 driving at a constant speed.