Week 12 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

How do you find the constant of proportionality?

Back

To find the constant of proportionality, divide one quantity by the other (y/x).

Front

If 4 pounds of grapes cost $24.36, what is the constant of proportionality?

Back

6.09 (calculated as 24.36 / 4).

Front

What does a constant of proportionality represent in a real-world context?

Back

It represents the rate at which one quantity changes in relation to another.

Front

If a store sees 120 customers in 8 hours, what is the constant of proportionality?

Back

15 customers per hour (calculated as 120 / 8).

Front

What is the constant of proportionality in miles per hour if a car travels 90 miles in 2 hours?

Back

45 miles per hour (calculated as 90 / 2).

Front

What does it mean if a relationship is described as proportional?

Back

It means that as one quantity increases, the other quantity increases at a constant rate.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not.

Front

How can you tell 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.

Front

What is an example of a non-proportional relationship?

Back

A relationship where the ratio between two quantities changes, such as a graph that does not pass through the origin.