Constant of proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value that relates two proportional quantities. It is the ratio of one quantity to another when they are directly proportional.

Front

If y is directly proportional to x, what is the formula to express this relationship?

Back

y = kx, where k is the constant of proportionality.

Front

What does it mean if the constant of proportionality is 5?

Back

It means that for every unit increase in x, y increases by 5 units.

Front

How do 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. If the ratio is constant, that value is the constant of proportionality.

Front

If the constant of proportionality is 10, what is the value of y when x = 3?

Back

y = 10 * 3 = 30.

Front

What is the constant of proportionality if y = 15 when x = 3?

Back

k = y/x = 15/3 = 5.

Front

In a proportional relationship, if x doubles, what happens to y?

Back

y also doubles, maintaining the constant ratio.

Front

What is the constant of proportionality in the equation y = 4x?

Back

The constant of proportionality is 4.

Front

If the constant of proportionality is 1/5, what is the value of y when x = 10?

Back

y = (1/5) * 10 = 2.

Front

What is the relationship between the constant of proportionality and slope in a graph?

Back

In a graph of a proportional relationship, the constant of proportionality is the slope of the line.