Proportional VS Linear Relationships

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, indicating how much one quantity changes in relation to another.

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

What is a linear relationship?

Back

A linear relationship is a relationship that can be represented by a straight line on a graph, where the change in one variable is constant with respect to the change in another variable.

Front

How can you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratios of corresponding values are equal.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is zero, indicating the starting point of the relationship.

Front

What is an example of a proportional function?

Back

Beverly earns $210 a week for 4 weeks, which shows a constant rate of earning.

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 k is the constant, y is the dependent variable, and x is the independent variable.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a constant ratio.

Front

How do you graph a proportional relationship?

Back

To graph a proportional relationship, plot the points and draw a line through the origin (0,0).

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means that the ratios of the corresponding values are not constant.