find the constant of variation for each of the stated conditions. y is directly proportional to x and inversely proportional to the square of z, and y = 81 when x = 36 and z = 2.

Q: Suppose that w varies directly as x and the square of y and inversely as the square oot of z. If x…

A: Given query is to find percentage increase in w when indicated percentage increase happened in…

Q: The variable s varies jointly with t and u such that s = 7 when t = 4 and u =3. What is the constant…

A: Given that the variable s varies jointly with t and u such that s = 7 when t = 4 and u =3. We need…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.