Proportional or NOT?

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if two quantities maintain a constant ratio, meaning as one quantity increases or decreases, the other does so in a consistent manner.

Front

How can you identify a proportional relationship in a graph?

Back

A proportional relationship in a graph is represented by a straight line that passes through the origin (0,0).

Front

What is a key characteristic of a non-proportional relationship in a graph?

Back

A non-proportional relationship may be represented by a line that does not pass through the origin or is not straight.

Front

What does a proportional table look like?

Back

In a proportional table, the ratios of corresponding values are constant. For example, if x and y are the values, then y/x = constant.

Front

What is an example of a proportional relationship?

Back

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

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the relationship between the number of hours worked and total pay if there is a fixed salary plus overtime.

Front

How do you determine if a table is proportional?

Back

To determine if a table is proportional, calculate the ratio of y to x for each pair of values. If all ratios are equal, the table is proportional.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant in proportional relationships because it indicates that when one quantity is zero, the other quantity is also zero.

Front

What is a constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

How can you represent a proportional relationship with an equation?

Back

A proportional relationship can be represented by the equation y = kx, where k is the constant of proportionality.