Functions and Proportional Relationships

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how many units of one quantity correspond to one unit of another quantity.

Front

What is the unit rate for 60 miles in 1 hour?

Back

60 miles per hour.

Front

What does it mean for a mapping to be a function?

Back

A mapping is a function if each input (x-value) is associated with exactly one output (y-value).

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with more than one output.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio between them is constant.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio between two quantities is not constant.

Front

Example of a proportional relationship: If 3 apples cost $6, what is the cost of 1 apple?

Back

$2 per apple.

Front

Example of a non-proportional relationship: If a video game rental fee is $15 plus $3 per day, is it proportional?

Back

No, it is non-proportional because the cost does not have a constant ratio.

Front

How can you determine if a set of ordered pairs is a function?

Back

Check if any x-value is repeated with a different y-value. If so, it is not a function.

Front

What is the definition of a function in terms of ordered pairs?

Back

A function is a set of ordered pairs where each first element (x-value) is unique.