Constant of Proportionality (Tables & Graphs)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It remains constant for all pairs of values in a proportional relationship.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity for any pair of values. The result will be the same for all pairs.

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). The slope of the line represents the constant of proportionality.

Front

If the constant of proportionality is 8, what does this mean?

Back

If the constant of proportionality is 8, it means that for every unit increase in one quantity, the other quantity increases by 8 units.

Front

What is the formula for finding the constant of proportionality?

Back

The formula for finding the constant of proportionality is k = y/x, where 'y' is the dependent variable and 'x' is the independent variable.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed. If you travel at 60 miles per hour, the distance traveled is proportional to the time spent traveling.

Front

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

Back

You can tell if a graph represents a proportional relationship if it is a straight line that passes through the origin (0,0) and has a constant slope.

Front

What happens to the constant of proportionality if the relationship is not proportional?

Back

If the relationship is not proportional, the constant of proportionality will not remain the same for different pairs of values, and the graph will not be a straight line through the origin.

Front

What is the constant of proportionality for the equation y = 3x?

Back

The constant of proportionality for the equation y = 3x is 3.

Front

How do you identify the constant of proportionality from a graph?

Back

To identify the constant of proportionality from a graph, find the slope of the line. The slope (rise over run) represents the constant of proportionality.