How to find coefficient of proportionality

Two interdependent quantities are proportional if the ratio of their values is not changed. Is unchanged the ratio of the quantities is called a factor of proportionality.

You will need

• calculator;
• - source data.

Instruction

1. Before finding the coefficient of proportionality, become acquainted with the properties of proportions. Suppose that the four differ from other numbers, each of which is non-zero (a, b, c and d), and the ratio between these numbers is as follows: a : b = c : d. In this case, a and d are the extreme members of the proportion, b and c, the average members per se.
2. The main property, which has a proportion: the product of its members equal to the result of multiplying the average of the members of this proportion. In other words, ad = bc.
3. However, the permutation average (a : c = b : d) and members of extreme proportion (d : b = c : a) the ratio between these values remains valid.
4. Two interdependent values of aspect ratio are related as follows: y = kx, provided that k is not equal to zero. In this par k is coefficient of proportionality, and y and x are proportional variables. A variable saying that it is proportional to a variable X.
5. The calculation of the coefficient of proportionality pay attention to the fact that it can be forward and reverse. The scope of the definition of direct proportionality – the set of all integers. From the formula of the proportional relationship of the variables, it follows that/x = k.
6. To find out whether this direct proportionality, compare private u/x for all pairs with the corresponding values of the variables x and y, provided that x ≠ 0.
7. If you compare private to the same k (the factor of proportionality not necessarily equal to zero), the dependence of x is directly proportional.
8. Inverse proportionality is manifested in the fact that an increase (or decrease) the same value several times, is proportional to the second variable decreases (increases) by the same factor.