Proportional Graph Practice

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 is constant.

Front

How can you identify a proportional graph?

Back

A proportional graph passes through the origin (0,0) and has a straight line.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the ratio between two directly proportional quantities.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where y and x are the quantities being compared.

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not maintain a constant ratio between the two quantities and does not pass through the origin.

Front

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

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

How can you determine if a function models a proportional relationship?

Back

A function models a proportional relationship if it is linear and passes through the origin.

Front

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

Back

The slope of a proportional graph represents the constant of proportionality.

Front

What is the difference between direct and inverse proportionality?

Back

Direct proportionality means that as one quantity increases, the other also increases, while inverse proportionality means that as one quantity increases, the other decreases.

Front

How do you graph a proportional relationship?

Back

To graph a proportional relationship, plot points that maintain a constant ratio and connect them with a straight line through the origin.