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 constant of proportionality?

Back

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

Front

How can you determine if a relationship is proportional from a graph?

Back

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

Front

If Melanie buys 2 seashells for $0.80, what is the cost per seashell?

Back

The cost per seashell is $0.40.

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 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

If Rosi buys 5 seashells for $2.00, what is the constant of proportionality?

Back

The constant of proportionality is $0.40.

Front

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

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

What happens to the cost if the number of seashells bought doubles?

Back

If the number of seashells bought doubles, the cost also doubles in a proportional relationship.

Front

What is the relationship between the distance a taxi travels and the cost of the ride?

Back

The relationship is often proportional, as the cost increases with distance traveled.