Constant of Proportionality (Tables & Graphs)

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio between two proportional quantities, often represented as 'k'.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of one variable by the corresponding value of the other variable for any pair of values.

Front

What does a constant of proportionality of 1/4 indicate?

Back

A constant of proportionality of 1/4 indicates that for every 1 unit increase in the independent variable, the dependent variable increases by 1/4 units.

Front

If the constant of proportionality is k = 5, what does this mean in practical terms?

Back

It means that for every 1 unit increase in the independent variable, the dependent variable increases by 5 units.

Front

What is the significance of the constant of proportionality in graphs?

Back

In graphs, the constant of proportionality represents the slope of the line, indicating how steeply one variable changes in relation to another.

Front

How can you determine the constant of proportionality from a graph?

Back

You can determine the constant of proportionality from a graph by calculating the slope of the line, which is the change in the y-value divided by the change in the x-value.

Front

What is the relationship between proportionality and linear functions?

Back

Proportionality is a specific case of linear functions where the line passes through the origin (0,0) and has a constant slope.

Front

What does a constant of proportionality of 40 indicate in a graph?

Back

A constant of proportionality of 40 indicates that for every 1 unit increase in the independent variable, the dependent variable increases by 40 units.

Front

If a table shows values (2, 8) and (4, 16), what is the constant of proportionality?

Back

The constant of proportionality is 4, calculated by dividing 8 by 2 or 16 by 4.

Front

What is the formula to express the relationship between two proportional quantities?

Back

The relationship can be expressed as y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.