Constant of Proportionality Review

Front

What is the Constant of Proportionality?

Back

The Constant of Proportionality is the constant factor (k) that relates two proportional quantities in the equation y = kx.

Front

How do you identify if a relationship is proportional?

Back

A relationship is proportional if the ratio of y to x is constant for all pairs of values.

Front

What is the equation for a proportional relationship?

Back

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

Front

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

Back

5

Front

If y = 3x, what does the number 3 represent?

Back

The cost of 1 unit of x.

Front

What does the constant of proportionality tell us in a real-world context?

Back

It indicates how much one quantity changes in relation to another quantity.

Front

If the constant of proportionality is 8, what is the equation?

Back

y = 8x.

Front

What is the constant of proportionality in the equation y = 12x?

Back

12

Front

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

Back

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

Front

If a table shows (2, 18) and (4, 36), is this relationship proportional?

Back

Yes, because 18/2 = 9 and 36/4 = 9, the ratio is constant.