Constant of Proportionality (Tables & Graphs)

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio between two variables that are directly proportional. It is often represented by '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. If the ratio is constant, the relationship is proportional.

Front

What does a proportional relationship look like on a graph?

Back

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

Front

If y = kx, what does 'k' represent?

Back

'k' represents the constant of proportionality in the equation, indicating how much y changes for a unit change in x.

Front

What is the constant of proportionality for the graph where y = 40x?

Back

The constant of proportionality is 40.

Front

In the table below, what is the constant of proportionality? x: 1, 2, 3, 4 y: 5, 10, 15, 20

Back

The constant of proportionality is 5.

Front

What is the constant of proportionality if the ratio of y to x is always 2?

Back

The constant of proportionality is 2.

Front

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

Back

A table represents a proportional relationship if the ratios of corresponding values are equal.

Front

What is the constant of proportionality for the equation y = 0.2x?

Back

The constant of proportionality is 0.2.

Front

If a graph shows a line that does not pass through the origin, is it proportional?

Back

No, if a graph does not pass through the origin, it does not represent a proportional relationship.