Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value (k) that relates two proportional quantities, indicating how one quantity changes in relation to another.

Front

If y = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality, which shows the ratio of y to x.

Front

Identify the constant of proportionality in the equation y = 3x.

Back

k = 3.

Front

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

Back

If k = 0, it means that the two quantities are not proportional; as x increases, y remains constant at 0.

Front

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

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 the constant of proportionality is k = 5, what is the relationship between x and y?

Back

The relationship is y = 5x.

Front

What is the graphical representation of a proportional relationship?

Back

A proportional relationship is represented by a straight line that passes through the origin (0,0) on a graph.

Front

If a graph shows a line with a slope of 2, what is the constant of proportionality?

Back

The constant of proportionality is k = 2.

Front

What does it mean if two quantities are not proportional?

Back

If two quantities are not proportional, their ratio is not constant; as one quantity changes, the other does not change in a consistent manner.

Front

Write an equation for a proportional relationship where k = 4.

Back

y = 4x.