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 is the unit rate?

Back

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

Front

What is the constant of proportionality?

Back

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

Front

How do you find the unit rate from a proportional relationship?

Back

To find the unit rate, divide the first quantity by the second quantity. For example, if you have 120 miles in 2 hours, the unit rate is 120 miles ÷ 2 hours = 60 miles per hour.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a proportional relationship where 'k' is the constant of proportionality, 'y' is the dependent variable, and 'x' is the independent variable.

Front

If a table shows a constant increase in values, what does that indicate?

Back

A constant increase in values in a table indicates a proportional relationship between the two quantities.

Front

How can you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equivalent or if they can be represented by a straight line through the origin on a graph.

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What is an example of a real-world proportional relationship?

Back

An example of a real-world proportional relationship is the speed of a car, where distance traveled is proportional to time taken at a constant speed.

Front

What is the significance of the slope in a graph of a proportional relationship?

Back

The slope of the line in a graph of a proportional relationship represents the constant of proportionality.

Front

How do you convert a proportional relationship into an equation?

Back

To convert a proportional relationship into an equation, identify the constant of proportionality and write it in the form y = kx.