Identify Proportional Relationships and Rates

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

The constant of proportionality can be found by dividing one quantity by the other in a proportional relationship.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity of one.

Front

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

Back

15 customers per hour.

Front

A machine packs boxes at a constant rate of 2/3 a box every 1/2 a minute. How many boxes does it pack per minute?

Back

4/3 boxes per minute.

Front

What does it mean if a graph does not go through the origin?

Back

If a graph does not go through the origin, it indicates a non-proportional relationship.

Front

What is the unit rate in the relationship of 120 miles in 2 hours?

Back

60 miles/1 hour.

Front

What is the formula to find the constant of proportionality?

Back

Constant of proportionality = (y-value)/(x-value) for any point (x,y) on the line.

Front

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

Back

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

Front

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

Back

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