Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Front

Which equation represents a proportional relationship?

Back

y = kx, where k is a non-zero constant.

Front

Identify the constant of proportionality in the equation y = 1.5x.

Back

k = 1.5.

Front

What does it mean if an equation is not proportional?

Back

It means that the relationship between the variables does not maintain a constant ratio.

Front

In the equation y = 2x - 3, is it proportional?

Back

No, it is not proportional because of the -3 constant.

Front

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

Back

Divide the output (y) by the input (x) for any pair of values; if the ratio is constant, that value is k.

Front

What is the constant of proportionality in the equation y = 5x?

Back

k = 5.

Front

If y = 2/3x, what is the constant of proportionality?

Back

k = 2/3.

Front

What is the unit of the constant of proportionality in a speed problem?

Back

The unit is typically distance per time, such as miles per hour (mph).

Front

If a relationship is described as 'not proportional', what does that imply about the graph?

Back

The graph will not be a straight line through the origin.