Graphing 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 for a graph to be linear?

Back

A linear graph is a graph that shows a straight line, indicating a constant rate of change between the two variables.

Front

What is the significance of the origin in a proportional graph?

Back

In a proportional graph, the line must pass through the origin (0,0) to indicate that when one quantity is zero, the other quantity is also zero.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if there are 72 ounces for 12 servings, the unit rate is 72 ÷ 12 = 6 ounces per serving.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of one quantity to another in a proportional relationship, often represented by 'k' in the equation y = kx.

Front

How can you tell if a graph is not proportional?

Back

A graph is not proportional if it does not pass through the origin or if it is not a straight line.

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the constant rate of change between the two variables.

Front

What is the unit rate in the relationship of 120 miles in 2 hours?

Back

The unit rate is 60 miles per hour.

Front

What is the equation for a proportional relationship that represents rain falling at a constant rate?

Back

The equation is y = 2x, where y is the amount of rain and x is the time in hours.