Proportional Relationship/Tables

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 quantity is constant.

Front

How can you identify a proportional relationship in a table?

Back

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

Front

What is the constant of proportionality?

Back

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

Front

If y = 9x, what is the constant of proportionality?

Back

The constant of proportionality is 9.

Front

What does it mean if a table shows a constant ratio?

Back

It means that for every increase in one quantity, there is a consistent increase in the other quantity, maintaining the same ratio.

Front

How do you find the missing value in a proportional table?

Back

To find the missing value, set up a proportion using the known values and solve for the unknown.

Front

What is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.

Front

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

Back

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

Front

How can you represent a proportional relationship graphically?

Back

A proportional relationship can be represented graphically as a straight line that passes through the origin.

Front

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

Back

The origin (0,0) indicates that when one quantity is zero, the other quantity is also zero, which is a characteristic of proportional relationships.