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

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 2 seashells cost $0.80, what is the cost of 1 seashell?

Back

$0.40

Front

What does the graph of a proportional relationship look like?

Back

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

Front

If a family drives 49 miles in 1 hour, what is the constant of proportionality?

Back

49 miles per hour.

Front

How do you convert a rate to a unit rate?

Back

To convert a rate to a unit rate, divide the numerator by the denominator to find the value for one unit.

Front

What is the unit rate for running 3.1 miles in 28 minutes?

Back

0.155 miles per minute.

Front

What is the error in finding the constant of proportionality if you divide y by x instead of x by y?

Back

The error is that you are not correctly identifying the ratio of the dependent variable to the independent variable.

Front

If a relationship is not proportional, what does that mean?

Back

It means that the ratio between the two quantities is not constant.