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Mar 12, 2021 · Joint Variation refers to the scenario where the value of 1 variable depends on 2 or more and other variables that are held constant. For example, if C varies jointly as A and B, then C = ABX for which constant “X”. The joint variation will be useful to represent interactions of multiple variables at one time.

Example: If z is jointly proportional to x and y and z = 6, when x = 3 and y = 4, find z when x = 7 and y = 4. Find k: 6 = 3 (4) k. k = 1 2. Then, find z when x = 7 and y = 2. z = 1 2 (7) (2) z = 7

Example 10: Joint Variation Example A quantity x varies directly with the square of y and inversely with the square root of z. If x = 8, y = 4, and z = 10, find x when y = 2 and z = 30. Solution Start by writing an equation to show the relationship between the multiple variables mentioned.

Solved Example on Joint Variation Ques: Assume a varies jointly with b and c. If b = 2 and c = 3, find the value of a. Given that a = 12 when b = 1 and c = 6. Solution: Step 1: First set up the equation. a varies jointly with b and c. a = kbc Step 2: Find the value of the constant, k. Given that a = 12 when b = 1 and c = 6 a = kbc 12 = k x 1 x 6 ⇒ k = 2

If more than two variables are related directly or one variable changes with the change product of two or more variables it is called as joint variation.

Joint variation is a variation where a quantity varies directly as the product of two or more other quantities. For example, the area of a rectangle varies ...

When a variable is dependent on the product or quotient of two or more variables, this is called joint variation. For example, the cost of busing students for each school trip varies with the number of students attending and the distance from the school. The variable c, cost, varies jointly with the number of students, n, and the distance, d.

Example 1: A quantity varies inversely as two or more other quantities. The figure below shows a rectangular solid with a fixed volume. Express its width, w, as a joint variation in terms of its length, l, and height, h. Solution: w ∝ 1/(lh) In …

Learn how to solve joint variation problems in algebra. This article includes definitions and various examples about joint variation and ...

Joint Variation refers to the scenario where the value of 1 variable depends on 2 or more and other variables that are held constant. For ...

Joint Variation. Like direct variation, but involves more than one variable. Example: y=kx{{z}^{2}}. Example: y varies jointly with x and the square of z.

6. More Examples on Joint Variation y = 7xz, here y varies jointly as x and z y = 7x2z3, here y varies jointly as x2 and z3 ...

More Examples on Joint Variation y = 7xz, here y varies jointly as x and z y = 7x2z3, here y varies jointly as x2 and z3 Area of a triangle = is an example of joint variation. Here the constant is 1. Area of a triangle varies jointly with base 'b' and height 'h' Area of a rectangle = L x M represents joint variation. Here the constant is 1.

Joint variation describes a situation where one variable depends on two (or more) other variables, and varies directly as each of them when the others are ...