Proportional or NOT?

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio or rate. If one quantity increases, the other increases at a consistent rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. Changes in one quantity do not result in consistent changes in the other.

Front

How can you identify a proportional relationship from a table?

Back

A table represents a proportional relationship if the ratio of the values in one column to the values in another column is constant.

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

Is the relationship between distance and time at a constant speed proportional or non-proportional?

Back

Proportional. The distance traveled is directly proportional to the time spent traveling at a constant speed.

Front

What does it mean if a relationship has a y-intercept other than zero?

Back

If a relationship has a y-intercept other than zero, it indicates a non-proportional relationship, as there is an initial value that does not depend on the other variable.

Front

Example of a proportional relationship: If 3 apples cost $1.50, how much do 6 apples cost?

Back

$3.00. (The cost per apple remains constant.)

Front

Example of a non-proportional relationship: A taxi charges a flat fee of $5 plus $2 per mile. Is this proportional?

Back

No, it is non-proportional because of the flat fee.

Front

What is the significance of the slope in a graph of a proportional relationship?

Back

The slope represents the constant of proportionality, indicating how much one quantity changes in relation to another.

Front

Can a linear equation represent a proportional relationship?

Back

Yes, if the linear equation passes through the origin (0,0), it represents a proportional relationship.