Constant of Proportionality

Front

What is the constant of proportionality?

Back

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

Front

How do you express the constant of proportionality in an equation?

Back

The constant of proportionality is expressed in the equation y = kx, where k is the constant.

Front

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

Back

The constant of proportionality is k = 2.

Front

If the constant of proportionality is k = 1.50, what is the equation?

Back

The equation is y = 1.50x.

Front

What does it mean if k = 0 in a proportional relationship?

Back

If k = 0, it means that y is always 0 regardless of the value of x, indicating no proportional relationship.

Front

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

Back

To find the constant of proportionality from a table, divide the y-value by the corresponding x-value for any pair of values.

Front

What is the constant of proportionality if y = 40 when x = 1?

Back

The constant of proportionality is k = 40.

Front

If a graph shows a straight line passing through the origin, what can you say about the constant of proportionality?

Back

If a graph shows a straight line passing through the origin, it indicates a proportional relationship, and the slope of the line represents the constant of proportionality.

Front

What is the constant of proportionality for the equation y = 1/2x?

Back

The constant of proportionality is k = 1/2.

Front

If the constant of proportionality is k = 16, what is the value of y when x = 2?

Back

When x = 2, y = 16 * 2 = 32.