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 is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.

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 does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities, often denoted as 'k'.

Front

If a graph shows a straight line that does not pass through (0,0), is it proportional?

Back

No, if a graph shows a straight line that does not pass through (0,0), it is not a proportional relationship.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

What is an example of a unit rate in real life?

Back

An example of a unit rate in real life is driving at a speed of 60 miles per hour.

Front

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

Back

To calculate the unit rate, divide the total quantity by the number of units. For example, if 120 miles are traveled in 2 hours, the unit rate is 120 miles / 2 hours = 60 miles/hour.

Front

What does it mean if a graph is curvy?

Back

If a graph is curvy, it indicates that the relationship between the two quantities is not proportional.

Front

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

Back

The point (0,0) signifies that when the independent variable is zero, the dependent variable is also zero, which is a characteristic of proportional relationships.