Constant of proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio between two quantities that are directly proportional to each other.

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 3/10?

Back

It means that for every 10 units of x, y increases by 3 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 7.5, what is the value of y when x = 4?

Back

y = 7.5 * 4 = 30.

Front

What is the constant of proportionality if y = 2 when x = 1?

Back

The constant of proportionality is 2.

Front

If y = 12.5 when x = 1, what is the constant of proportionality?

Back

The constant of proportionality is 12.5.

Front

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

Back

The constant of proportionality represents the slope of the line in a graph of y vs. x.

Front

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

Back

y = 3 * 5 = 15.

Front

What does a constant of proportionality of 1/3 indicate about the relationship between x and y?

Back

For every 3 units of x, y increases by 1 unit.