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 a quantity to one unit of another quantity, often expressed as 'x per 1 unit'.

Front

How do you determine if a graph represents a proportional relationship?

Back

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

Front

What does it mean if two rates are equivalent?

Back

Two rates are equivalent if they represent the same relationship between quantities, meaning they have the same unit rate.

Front

If Samantha drives at 30 mph and Tracy drives at 60 miles every 2 hours, who drives faster?

Back

They drive the same speed per hour.

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 constant value (k) that relates two proportional quantities.

Front

What does a linear graph look like?

Back

A linear graph is represented by a straight line.

Front

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

Back

The point (0,0) indicates that when one quantity is zero, the other quantity is also zero, confirming a proportional relationship.

Front

If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

Back

The unit rate is 50 miles per hour.