Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two quantities that are directly proportional to each other, often represented as 'k'.

Front

How do you find the constant of proportionality?

Back

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

Front

If y = 20 when x = 5, what is the constant of proportionality?

Back

k = y/x = 20/5 = 4.

Front

What does a constant of proportionality of 0.20 indicate?

Back

It indicates that for every unit increase in x, y increases by 0.20 units.

Front

True or False: A graph with a constant of proportionality of 1 means y equals x.

Back

True.

Front

What does it mean if the constant of proportionality is greater than 1?

Back

It means that y increases faster than x.

Front

What does it mean if the constant of proportionality is less than 1?

Back

It means that y increases slower than x.

Front

In a proportional relationship, what happens to y if x is doubled?

Back

If x is doubled, y will also double.

Front

What is the graphical representation of a constant of proportionality?

Back

It is represented by a straight line that passes through the origin (0,0) in a graph.

Front

If the equation of a line is y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.