Functions & 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 does it mean if a relationship is directly proportional?

Back

If a relationship is directly proportional, it means that as one quantity increases, the other quantity increases at a constant rate.

Front

How do you determine if a graph represents a proportional relationship?

Back

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

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality (k) can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

If $70 is earned in 5 hours, how much is earned in 22 hours?

Back

$308

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is an example of a non-proportional relationship?

Back

A video game rental fee of $15 plus $3 per day is a non-proportional relationship because it includes a fixed fee.

Front

What is an example of a proportional function?

Back

Beverly earns $210 a week for 4 weeks is an example of a proportional function because the earnings are directly proportional to the number of weeks.

Front

What does it mean if a graph does not pass the vertical line test?

Back

If a graph does not pass the vertical line test, it means that it does not represent a function.

Front

What is the relationship between hours worked and money earned in a direct proportion?

Back

In a direct proportion, if the number of hours worked increases, the money earned also increases at a constant rate.