Introduction to Proportionality

Front

What is proportionality in mathematics?

Back

Proportionality refers to the relationship between two quantities where their ratio remains constant.

Front

What is the constant of proportionality?

Back

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

Front

How do you determine the constant of proportionality from a table of values?

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity.

Front

What does it mean if a relationship is proportional?

Back

A relationship is proportional if it can be expressed as y = kx, where k is a non-zero constant.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio of the two quantities is not constant.

Front

Give an example of a proportional relationship in real life.

Back

An example of a proportional relationship is the cost of apples, where the price per pound remains constant regardless of the quantity purchased.

Front

What is the graphical representation of a proportional relationship?

Back

The graphical representation of a proportional relationship is a straight line that passes through the origin (0,0).

Front

How can you tell if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin.

Front

What is the formula for finding the constant of proportionality?

Back

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

Front

What happens to the constant of proportionality if one quantity is doubled?

Back

If one quantity is doubled in a proportional relationship, the other quantity will also double, keeping the constant of proportionality the same.