Inverse relation represents such type of interrelation between the considered variables at which increase in size of one variable causes the corresponding reduction of size another.
Inverse relation
Inverse relation - one of types of a ratio between two variables, that is function which in this case has y appearance = k/x. Here y represents a dependent variable which the property to change in connection with changes of values of an independent variable matters. In turn, variable x defining value of all function acts as this independent variable. It is also called an argument.
Variables x and y are the changing components of a formula of inverse relation whereas k coefficient - its constant component which defines the nature of change of variable y at change of variable x on unit. At the same time neither k coefficient, nor independent variable y should not be equal in this formula 0 as equality of coefficient of k will cause equality to zero all function, and x in this case serves as a divider which cannot be equal in mathematics to 0.
Examples of inverse relation
Thus, substantially inverse relation is expressed that increase in an independent variable, that is arguments, causes the corresponding reduction of a dependent variable in a certain number of times. Respectively, reduction of value of an independent variable will lead to increase in value of a dependent variable. Function y = 8/x can be a simple example of inverse relation. So, if x = 2, function gains the value, equal, 4. Increase in value x twice, that is to 4, will cause reduction of value of a dependent variable also twice, that is up to 2. At x = the 8th independent variable y = 1 and so on. Respectively, reduction of value x to 1 will cause increase in value of dependent variable y up to 8. At the same time in everyday life it is also possible to meet striking examples of inverse relations. So, if one person who is carrying out it with the set performance is able to make a certain volume of work in 20 hours, then 2 persons working on the same task with the identical performance equal to labor productivity of the first worker will cope with this work for twice shorter time - 10 hours. The corresponding reduction of amount of time necessary for performance of this work will cause further increase in number of workers on condition of maintaining their initial labor productivity. Also an example of inverse relation is the interrelation between time necessary for overcoming a certain distance, and speed of the movement of an object when passing this distance. So, if the motorist needs to pass 200 kilometers, moving with a speed of 50 kilometers per hour, he will spend for it 4 hours whereas moving with a speed of 100 kilometers per hour - only two.