3problems involving direct linear variation with correct solution and answer.

answer:                                                                                                     proportionality or proportionality constant.                                             Explanation:                                                                                            In mathematics, two varying quantities are said to be in a relation of proportionality, if they are multiplicatively connected to a constant; that is, when either their ratio or their product yields a constant. The value of this constant is called the coefficient of proportionality or proportionality constant. If the ratio ( y / x ) of two variables (x and y) is equal to a constant (k =  y / x ), then the variable in the numerator of the ratio (y) is the product of the other variable and the constant (y = k⋅x). In this case y is said to be directly proportional to x with proportionality constant k. Equivalently one may write x =  1 / k ⋅y; that is, x is directly proportional to y with proportionality constant  1 / k (=  x / y ). If the term proportional is connected to two variables without further qualification, generally direct proportionality can be assumed. If the product of two variables (x⋅y) is equal to a constant (k = x⋅y), then the two are said to be inversely proportional to each other with the proportionality constant k. Equivalently, both variables are directly proportional to the reciprocal of the respective other with proportionality constant k (x = k⋅ 1 / y and y = k⋅ 1 / x ). If several pairs of variables share the same direct proportionality constant, the equation expressing the equality of these ratios is called a proportion, e.g.,  a / b =  x / y = ... = k (for details see Ratio).  

Hooke’s Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 160 newtons stretches a spring 5 cm, how much will a force of 368 newtons stretch the same spring?

Jinna have 3 3/4 of orange and 2 2/4 of apple how many are they in all

The more visitors you have the more food to cook and the money you spent will increase