What is combined variation?
Combined variation describes a situation where a variable depends on two (or more) other variables, and varies directly with some of them and varies inversely with others (when the rest of the variables are held constant).
Which is an example of combined variation?
Combined variation is a combination of direct, inverse, and joint variation. For example, the sales of a product may be directly proportional to the amount of money spent on advertising the product, but inversely proportional to the price of the product.
What is the difference between joint variation and combined variation?
Joint variation is similar to direct variation. It involves two or more variables, such as y=k(xz). Combined variation combines direct and inverse variation, y=kx/z.
What is an example of inverse variation?
For two quantities with inverse variation, as one quantity increases, the other quantity decreases. For example, when you travel to a particular location, as your speed increases, the time it takes to arrive at that location decreases. An inverse variation can be expressed by the equation xy=k or y=kx .
What is joint variation and examples?
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.
How does combined variation formed?
A combined variation is formed when we combine any of the variations together (direct, inverse and joint). In most cases, we combine direct and inverse variations to form a combined variation. i.e. y varies directly with x and inversely with z ( y = k ⋅ x z ) (y = k \cdot \frac{x}{z}) (y=k⋅zx)
How is inverse variation used in real life?
There are many situations in our daily lives that involve inverse variation (indirect variation). For example, the number of days required to build a bridge is varies inversely to the number of workers. As the number of workers increases, the number of days required to build would decrease.
What is the difference between joint and combined variation?
In Algebra, sometimes we have functions that vary in more than one element. When this happens, we say that the functions have joint variation or combined variation. 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.
What is an example of combined variation?
Combined variation is a variation where a quantity depends on two (or more) other quantities, and varies directly with some of them and varies inversely with others. Example 1: A quantity varies inversely as two or more other quantities. The figure below shows a rectangular solid with a fixed volume.
What is joint variation?
Joint Variation. 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 held constant. We say z varies jointly as x and y if.
Which equation’s represent joint variations?
Joint variation problems are solved using the equation y = kxz. When dealing with word problems, you should consider using variables other than x, y, and z, you should use variables that are relevant to the problem being solved.