Graphs of 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 is constant.

Front

What does it mean for a graph to show a proportional relationship?

Back

A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

How can you find the constant of proportionality?

Back

The constant of proportionality can be found by calculating the unit rate, which is the ratio of the two quantities.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the amount of one quantity per one unit of another quantity, often expressed as 'x per 1 y'.

Front

Back

This equation represents the proportional relationship between the number of shirts and their cost.

Front

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

Back

The point (0,0) indicates that when there is no quantity of one item, the cost is also zero, confirming the proportional relationship.

Front

Which of the following is a unit rate: 60 miles/1 hour, 120 miles/2 hours, or 1 mile/1 hour?

Back

60 miles/1 hour is a unit rate because it describes the distance traveled in one hour.

Front

What is the formula to find the unit rate?

Back

The unit rate can be found using the formula: Unit Rate = Total Quantity / Total Time.

Front

What does a straight line on a graph indicate about the relationship between x and y?

Back

A straight line indicates a constant rate of change, which is characteristic of a proportional relationship.

Front

If the cost of 5 shirts is $60, what is the cost of 2 shirts?

Back