Joint Variation Equations Calculator

Publish date: 2024-05-04
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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?

equationa statement declaring two mathematical expressions are equaljoint variation equationsEquations with one variable directly proportion to all other variables within the variation equationsvariation

Joint Variation Equations Calculator Video


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