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 the difference between joint and combined variation?
What is combine 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).
What is the difference between direct variation and joint variation?
The value of y varies directly with x, y is directly proportional to x. k is called the constant of proportionality, and is typically positive. Special Case: Direct Square variation: y=k{{x}^{2}}….Direct, Inverse, Joint and Combined Variation.
| Direct or Proportional Variation | Partial Variation |
|---|---|
| Inverse or Indirect Variation | More Practice |
| Joint and Combined Variation |
What is joint variation and example?
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 do you best describe a 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.
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)
What are the 4 types of variation?
Examples of types of variation include direct, inverse, joint, and combined variation.
How does combined variation different from the other types of 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.
How can you tell the difference between direct and inverse variation?
Direct variation occurs when an increase in one variable is results with an increase in value of the other variable. Inverse variation occurs when an increase in one variable is results with a decrease in value of the other variable.