Functions and graphs: Relations and functions
Example 2: The Widmark model
A second example of a linear relationship between two variables is the Widmark model of blood alcohol concentration in the human body after alcohol consumption in relation to the time that has elapsed after drinking.
The Swedish physiologist Erik P. Widmark (1889-1945) published the following formula for the blood alcohol concentration (BAC) in 1932:
In the above example, there are more than two variables, but we still speak of a linear relationship between blood alcohol concentration and time. We have in fact secretly chosen time as the independent variable, i.e., the variable the value of which can be freely chosen. The blood alcohol concentration BAC is called the dependent variable, because its value depends on the value of the independent variable. The other variables are parameters, which are in this case perosn-based constants. In this example, the relationship between BAC and is a function and BAC is a function of , denoted The right-hand side is also called the function definition or function rule.