Constant of Proportionality: Data Tables

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

How can you identify a proportional relationship in a table?

Back

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

Front

What is the equation for a proportional relationship?

Back

The equation for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

If a table shows the relationship between hours worked and money earned, how do you find the constant of proportionality?

Back

Divide the total money earned by the total hours worked.

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means the ratios of the corresponding values are not constant.

Front

How do you write an equation from a proportional table?

Back

Identify the constant of proportionality and use it to write the equation in the form y = kx.

Front

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

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

What is the significance of the constant of proportionality in a graph?

Back

In a graph, the constant of proportionality represents the slope of the line.

Front

How can you check if a table represents a proportional relationship?

Back

You can check by calculating the ratios of the values in the table and seeing if they are all equal.

Front

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

Back

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