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.
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.
Example 9: Joint Variation Problem. Say, c varies jointly as a and b. If c = 45 when a = 15 and b = 14, find c when a = 21 and b = 8. Solution. Express the given words into a mathematical statement using the joint variation formula. k = c / ab. k = 45 / (15) (14) k = 0.214. c = kab. c = (0.214) (21) (8) c = 35.95. Final Answer
Joint and Combined Variation Practice Problems *Make sure to use correct UNITS, when applicable 1) If f varies jointly as g and the cube of h, and f = 200 when g = 5 and h = 4, find f when g = 3 and h = 6. 2) If y varies jointly as x and z, and y = 33 when x = 9 and z = 12, find y when x = 16 and z = 22.
Direct Variation Word Problem: We can solve the following direct variation problem in one of two ways, as shown. We do these methods when we are given any three ...
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 relationship between the variables. \displaystyle x=\frac {k {y}^ {2}} {\sqrt [3] {z}} x = 3 √ z
Joint variation is direct variation to more than one variable (for example, d = (r) (t)). With combined variation, we have both direct variation and indirect variation. How to set up and solve combined variation problems? Example: Suppose y varies jointly with x and z. When y = 20, x = 6 and z = 10. Find y when x = 8 and z =15. Show Video Lesson
29.05.2021 · Learn how to solve joint variation problems in algebra. This article includes definitions and various examples about joint variation and combined variation that will help gauge understanding of the topic.
Direct Variation Problems · x=ky. x varies directly as y; x varies as y; x varies directly proportional to · x=ky^2. x varies directly as the square of y; x ...
Algebra Word Problems: How to solve Joint and Combined Variation Word Problems, how a quantity varies in relation to two or more other quantities, with video lessons, examples and step-by-step solutions
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 ...
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 = ...
Many algebra problems can be solved by using a direct proportion or an inverse proportion by itself. However, for some problems we need to combine these two ...