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.
- What are some examples of inverse variation in real life?
- What is joint variation?
- How do you do a joint variation in word problems?
- Which is the best definition of joint variation?
- Where are inverse functions used in real life?
- What is an example of indirect variation?
- How many quantities does joint variation relate?
- What is the difference between direct variation and joint variation?
What are some examples of inverse variation in real life?
Some situations of inverse variation: More men at work, less time taken to finish the work. Less men at work, more time is taken to finish the work. More speed, less time is taken to cover the same distance.
What is 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.
How do you do a joint variation in word problems?
Joint Variation
- 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.
- If X is in joint variation with Y and Z, it can be symbolically written as X α YZ. …
- Equation for a joint variation is X = KYZ where K is constant.
Which is the best definition of joint variation?
Joint variation is when a variable varies directly with two or more other variables. In other words, it's just a direct proportion with multiple variables. y=kxz Here, y varies directly with both x and z.
Where are inverse functions used in real life?
One of the most obvious everyday examples of an inverse relationship is speed to travel time. The faster you drive (or walk, or cycle etc) somewhere, the less time it takes to get there, and this is directly inversely proportional — if you drive twice as quickly on average, then you will get there in half the time.
What is an example of indirect variation?
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.
How many quantities does joint variation relate?
Joint variation occurs when one quantity is directly proportional to two or more quantities.
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 |