Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities, often represented as k in the equation y = kx.

Front

How do you determine if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant slope.

Front

What is the formula to find the constant of proportionality from a table of values?

Back

To find the constant of proportionality, divide the dependent variable by the independent variable for any pair of corresponding values.

Front

If a graph has a constant of proportionality of 40, what does this mean?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by 40 units.

Front

What does it mean if all graphs in a set are proportional?

Back

It means that each graph represents a linear relationship where the ratio of the dependent variable to the independent variable is constant.

Front

How can you find the price per item if given the total cost and quantity?

Back

Divide the total cost by the quantity to find the price per item.

Front

What is an example of a real-world situation that involves the constant of proportionality?

Back

An example is calculating speed, where speed (distance/time) is a constant of proportionality between distance traveled and time taken.

Front

What is the relationship between proportionality and linear equations?

Back

Proportional relationships can be represented by linear equations in the form y = kx, where k is the constant of proportionality.

Front

How can you identify a proportional relationship from a set of data points?

Back

A proportional relationship can be identified if the ratio of y to x is constant for all data points.

Front

What is the significance of the slope in a proportional graph?

Back

The slope of a proportional graph represents the constant of proportionality.