what does varies jointly mean

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.

How do you find varies jointly? One variable quantity is said to vary jointly as a number of other variable quantities, when it varies directly as their product. If the variable A varies directly as the product of the variables B, C and D, i.e., if. A ∝ BCD or A = kBCD (k = constant ), then A varies jointly as B, C and D.

What is the example of joint variation? 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.

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.

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

The statement “a varies jointly as b and c” means a=kbc , or k= a/bc , where k is t variation.

What is inverse variation examples?

For example, if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is k = xy = 5(2) = 10. Thus, the equation describing this inverse variation is xy = 10 or y = . Example 1: If y varies inversely as x, and y = 6 when x = , write an equation describing this inverse variation.

What is the equation of the variation where a varies jointly as B and C and a 36 when B 3 and C 4?

Find the equation of variation where a varies jointly as b and c, and a=36 when b= 3 and c=4 Solution: a =kbc where k is the constant of variation 36=k 34 use the value of a, b and c 36=k12 bc= 34=12 36= 12k 36* 1/12 =12k* 1/12 Apply the Multiplication Property of Equality 36/12 = 12k/12 3=k Therefore, the required …

What is joint proportion?

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). Equation: c = 5ab.

How will you describe a joint relationship of quantities?

Joint variation is a variation where a quantity varies directly as the product of two or more other quantities. For example, the area of a rectangle varies whenever its length or its width varies. We say that A ∝ lw, where A is the area, l is the length and w is the width.

Which describes a relationship that varies directly?

(Some textbooks describe direct variation by saying ” y varies directly as x “, ” y varies proportionally as x “, or ” y is directly proportional to x . “) This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.

What does combined variation mean?

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 does inverse variation mean?

Definition of inverse variation 1 : mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.

How many quantities are involved in a joint variation?

Joint variation occurs when one quantity is directly proportional to two or more quantities.

What is the constant of variation when a varies jointly as B and C?

A joint variation is a direct variation with two or more variables. A varies jointly as b and c is equivalent to a = kbc, where k is a non-zero constant variation that is also known as the constant of proportionality.

Which equation shows that M varies inversely as N?

n= m/k D.

What does direct variation mean?

Definition of direct variation 1 : mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. 2 : an equation or function expressing direct variation — compare inverse variation.

What’s the difference between inverse and direct variations?

Direct variation means when one quantity changes, the other quantity also changes in direct proportion. Inverse variation is exactly opposite to this.

Which of the equation for the cost C that varies directly as the number N of pens bought?

c= k/n 2. The speed r of a moving object is inversely proportional to the time t travelled is written as a. r=kt b.

What is the constant of variation K?

Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

What is a varies directly as B?

The constant of proportionality. When a varies directly as b, we often say, “a is proportional to b.” When that is the case, the relationship between a and b takes this algebraic form: a = kb.

What is a real life example of direct variation and inverse variation?

For example, our earnings are varied directly to how many hours we work. Work more hours to urge more pay, which suggests the rise within the value of one quantity also increases the worth of another quantity. A decrease within the value of one quantity also decreases the worth of the opposite quantity.

Which equation shows that M varies directly as N?

If m varies directly as n, then m=kn. Q. If m varies directly as b, then m = nb.

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