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 equation y = kx.

Front

How do you identify the constant of proportionality from a graph?

Back

To identify the constant of proportionality from a graph, find the ratio of the y-coordinate to the x-coordinate for any point on the line. This ratio is the constant of proportionality (k).

Front

What is the equation form of a proportional relationship?

Back

The equation form of a proportional relationship is y = kx, where k is the constant of proportionality.

Front

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

Back

The constant of proportionality is k = 5.

Front

If the constant of proportionality is k = 1/3, what is the relationship between x and y?

Back

The relationship is expressed as y = (1/3)x.

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, it means that the ratio of y to x is not constant; it does not fit the form y = kx.

Front

How can you express a proportional relationship using a table?

Back

In a table, a proportional relationship shows that the ratio of y to x remains constant for all pairs of values.

Front

What is the constant of proportionality if y = 15x?

Back

The constant of proportionality is k = 15.

Front

If y = kx and k = 2.5, what is the value of y when x = 4?

Back

y = 2.5 * 4 = 10.

Front

What is the constant of proportionality for the equation y = 0.06x?

Back

The constant of proportionality is k = 0.06.