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. It can be found by dividing one quantity by the other.

Front

How do you identify a proportional relationship in a table?

Back

A proportional relationship in a table can be identified if the ratios of corresponding values are constant.

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, it means that the ratio between the two quantities is not constant.

Front

What is the formula to find the constant of proportionality?

Back

The formula is k = y/x, where y is the dependent variable and x is the independent variable.

Front

If k = 2, what does this imply about the relationship?

Back

It implies that for every unit increase in x, y increases by 2 units.

Front

What is an example of a proportional relationship?

Back

An example is the relationship between distance and time at a constant speed, where distance = speed × time.

Front

Which of the following represents a proportional relationship: (1,2), (2,4), (3,6)?

Back

Yes, because the ratio of y to x is constant (k = 2).

Front

What is the constant of proportionality if y = 8 when x = 1?

Back

The constant of proportionality is k = 8.

Front

If a table shows values (1,3), (2,6), (3,9), what is the constant of proportionality?

Back

The constant of proportionality is k = 3.

Front

How can you tell if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).