Constant of proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a 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 7.5?

Back

It means that for every unit increase in x, y increases by 7.5 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.

Front

If the constant of proportionality is 3, what is the value of y when x = 5?

Back

y = 3 * 5 = 15.

Front

What is the constant of proportionality if y = 45 mph when x = 1?

Back

The constant of proportionality is 45 mph.

Front

If y = 16 when x = 1, what is the constant of proportionality?

Back

The constant of proportionality is 16.

Front

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

Back

The constant of proportionality is the slope of the line in a graph of y versus x.

Front

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

Back

The constant of proportionality is 5.

Front

What happens to the constant of proportionality if both x and y are multiplied by the same number?

Back

The constant of proportionality remains the same.