## What does it mean when y varies jointly with X and Z?

When we say z is jointly proportional to a set of variables, it means that z is directly proportional to each variable taken one at a time. If z varies jointly with respect to x and y, the equation will be of the form z = kxy (where k is a constant)….Joint Variation. Jointly Proportional.

a | b | c |
---|---|---|

2 | 2 | 20 |

### How do you find varies jointly?

Equation for a joint variation is X = KYZ where K is constant. One variable quantity is said to vary jointly as a number of other variable quantities, when it varies directly as their product.

**How do you find Z in combined variation?**

Summary

- Combined variation is a mix of direct and indirect variation.
- The joint variation equation is z=kxmyn where k≠0 and m>0,n>0.

**What does varies jointly mean?**

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. z=kxy. for some constant k.

## What are direct and inverse variations?

Direct variation is a linear function defined by an equation of the form y = kx when x is not equal to zero. Inverse variation is a nonlinear function defined by an equation of the form xy = k when x is not equal to zero and k is a nonzero real number constant.

### Which equation is an example of a combined variation?

The general form for combined variation is: We know y = 12 when x = 100 and z = 25, so throw all that into the formula like fruit into a blender. Hit “blend” to get our delicious k-smoothie.

**What is a varies directly as B?**

We say that a quantity a varies directly as a quantity b, if, when b changes, a changes in the same ratio. That means that if b doubles in value, a will also double in value. If b increases by a factor of 3, then a will also increase by a factor of 3.

**What does the statement a varies jointly as B and C describe?**

Joint variation – the statement “a varies jointly as b and C” means a=kbc Try or k= a/bc where k is the constant of variations.

## What is joint 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.