CHILD DEVELOPMENT PEDAGOGY

Detailed explanation-1: -If y varies directly with x, then we can express their relationship to one another using the following formula: y = kx, where k is a constant. Therefore, if y varies directly as the square of x and the cube of z, we can write the following analagous equation: y = kx2z3, where k is a constant.

Detailed explanation-2: -The phrase “ y varies directly as x” or “ y is directly proportional to x” means that as x gets bigger, so does y, and as x gets smaller, so does y.

Detailed explanation-3: -For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

Detailed explanation-4: -When a varies directly as b, we often say, “a is proportional to b.” When that is the case, the relationship between a and b takes this algebraic form: a = kb. k is called the constant of proportionality.