Constant of proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It indicates how one quantity changes in relation to another.

Front

How do you find the constant of proportionality from a set of data points?

Back

To find the constant of proportionality, divide the value of one quantity by the corresponding value of the other quantity. For example, if y = kx, then k = y/x.

Front

If a submarine dives 600 feet in 4 minutes, what is the constant of proportionality?

Back

k = 600 feet / 4 minutes = 150 feet per minute.

Front

What does a proportional relationship look like on a graph?

Back

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

Front

Is the relationship between hours worked and money earned always proportional?

Back

Not always. It is proportional if the rate of pay is constant, but can be non-proportional if there are bonuses or different rates.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second term is 1. For example, if you earn $500 for 8 hours, the unit rate is $500/8 = $62.50 per hour.

Front

How do you write an equation for a proportional relationship?

Back

An equation for a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

If a table shows that 3 hours of work earns $300, what is the constant of proportionality?

Back

k = $300 / 3 hours = $100 per hour.

Front

What does it mean if a graph is not proportional?

Back

If a graph is not proportional, it means that the relationship between the two variables does not maintain a constant ratio.

Front

How can you tell if a table of values represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.