Proportionality in Tables and Graphs

Front

What is proportionality in tables and graphs?

Back

Proportionality refers to a relationship where 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 graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is non-proportional, meaning the ratio between the two quantities is not constant.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Front

What is a constant of proportionality (COP)?

Back

The constant of proportionality (COP) is the constant factor (k) that relates two proportional quantities in the equation y = kx.

Front

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

Back

A table represents a proportional relationship if the ratios of corresponding values (y/x) are constant.

Front

What does it mean if a relationship is described as 'not proportional'?

Back

A relationship is 'not proportional' if the ratio between the two quantities changes, meaning it does not maintain a constant relationship.

Front

If y = 18.50x, what is the constant of proportionality?

Back

The constant of proportionality is 18.50.

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 find a missing value in a proportional table?

Back

To find a missing value in a proportional table, use the constant of proportionality to set up a proportion and solve for the unknown.