Joint Variation Equations Calculator

y x, and y = 45 when
z = 6

Solve for y when x = 6,z = 10

Joint variation equation:

Varies jointly means y = kxz where k is a constant

Plug in y = 45 when z = 6 and x = 1/2

45 = (6)(1/2)k

45 = 6k

Divide each side by 6

k = 7.5

Solve the second part of the variation

With k = 7.5, we form our new variation equation:

y = 7.5xz

Given that x = 6,z = 10

Since we were given that x = 6,z = 10, we have

y = 7.5 * 6 * 10

y = 450

What is the Answer?

How does the Joint Variation Equations Calculator work?

Free Joint Variation Equations Calculator - Given a joint variation (jointly proportional) of a variable between two other variables with a predefined set of conditions, this will create the joint variation equation and solve based on conditions. Also called combined variation.
This calculator has 4 inputs.

What 1 formula is used for the Joint Variation Equations Calculator?

a = kbc where k is a constant

For more math formulas, check out our Formula Dossier

What 3 concepts are covered in the Joint Variation Equations Calculator?

equation: a statement declaring two mathematical expressions are equal
joint variation equations: Equations with one variable directly proportion to all other variables within the variation equations
variation