Finding the 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, defined by the equation y = kx.

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 y by the corresponding value of x for any pair of values.

Front

If y = 75x, what is the constant of proportionality?

Back

The constant of proportionality is 75.

Front

What does a constant of proportionality of 1/2 indicate?

Back

It indicates that for every 1 unit increase in x, y increases by 1/2 units.

Front

In a proportional relationship, if x = 4 and y = 12, what is the constant of proportionality?

Back

The constant of proportionality is 3, since 12/4 = 3.

Front

What is the relationship between the constant of proportionality and the slope of a line?

Back

In a graph of a proportional relationship, the constant of proportionality is equal to the slope of the line.

Front

If the constant of proportionality is $9, what is the value of y when x = 5?

Back

y = 9 * 5 = $45.

Front

What does it mean if the constant of proportionality is 0?

Back

It means that there is no relationship between x and y; as x increases, y remains constant at 0.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified by a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality for the equation y = 2x?

Back

The constant of proportionality is 2.