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, represented in the equation y = kx.

Front

In the equation y = 2x, what does the number 2 represent?

Back

The number 2 represents the constant of proportionality.

Front

If y = kx, what happens to y if x is doubled?

Back

If x is doubled, y will also double, maintaining the proportional relationship.

Front

What is the relationship between x and y in a proportional relationship?

Back

In a proportional relationship, as one quantity increases, the other quantity increases at a constant rate.

Front

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

Back

Divide the value of y by the corresponding value of x for any pair of values; the result will be the constant of proportionality.

Front

If the constant of proportionality is 3, what is the value of y when x = 4?

Back

y = 3 * 4 = 12.

Front

What is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality.

Front

In a graph of a proportional relationship, what does the slope represent?

Back

The slope of the line represents the constant of proportionality.

Front

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

Back

The constant of proportionality is 5.

Front

What does it mean if two quantities are proportional?

Back

It means that the ratio of the two quantities remains constant.