Question

 If x = 1 and y = -5 and if x and y varies directly with each other, the value of constant variation is ​

Answer 1

Answer:

Joint variation occurs when a variable varies directly or inversely with multiple variables.

For instance, if x varies directly with both y and z, we have x = kyz. If x varies directly with y and inversely with z, we have

x

=

k

y

z

. Notice that we only use one constant in a joint variation equation.

EXAMPLE 4: SOLVING PROBLEMS INVOLVING JOINT VARIATION

A quantity x varies directly with the square of y and inversely with the cube root of z. If x = 6 when y = 2 and z = 8, find x when y = 1 and z = 27.

SOLUTION

Begin by writing an equation to show the