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 is constant.

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, 72 ounces for 12 servings gives a unit rate of 72 ÷ 12 = 6 ounces per serving.

Front

What does it mean if a graph is linear?

Back

A graph is linear if it forms a straight line when plotted on a coordinate plane.

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the graph must pass through the origin (0,0) to be considered proportional.

Front

What is the unit rate for 120 miles in 2 hours?

Back

The unit rate is 60 miles per hour, calculated as 120 miles ÷ 2 hours.

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 does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

What is the constant of proportionality?

Back

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

Front

How can you tell if a graph is proportional by looking at it?

Back

A graph is proportional if it is a straight line that passes through the origin.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the cost of apples per pound; if 1 pound costs $2, then 2 pounds cost $4, maintaining a constant ratio.