Constant of proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities. It represents how much one quantity changes in relation to another.

Front

If y is directly proportional to x, what is the equation that represents 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 3, what is the value of y when x = 4?

Back

y = 3 * 4 = 12.

Front

What is the constant of proportionality if y = 10 when x = 2?

Back

k = y/x = 10/2 = 5.

Front

If y = 15 when x = 5, what is the constant of proportionality?

Back

k = 15/5 = 3.

Front

What is the constant of proportionality in the equation y = 7x?

Back

The constant of proportionality is 7.

Front

If the constant of proportionality is 1/5, what does this indicate about the relationship between x and y?

Back

For every 5 units increase in x, y increases by 1 unit.

Front

How can you represent a proportional relationship graphically?

Back

A proportional relationship can be represented by a straight line that passes through the origin (0,0) on a graph.