Table of Contents
- 1 What is the equation for z varies directly with Y and inversely with X?
- 2 What does Y varies directly with X mean?
- 3 Which describes a relationship that varies directly?
- 4 How do you find Z in combined variation?
- 5 What does y varies directly as X and inversely as Z mean?
- 6 What is the value of X in the inverse variation formula?
What is the equation for z varies directly with Y and inversely with X?
z∝yx or z=k×yx , where k is a constant.
How do you solve y varies directly as x and inversely as the square of Z?
Summary: y = ( k × x ) / z2, where k is the constant of proportionality.
What does Y varies directly with X mean?
(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 X varies directly with Y mean?
The statement “y varies directly as x,” means that when x increases, y increases by the same factor.
Which describes a relationship that varies directly?
What kind of variation is this y varies directly as x and inversely as Z?
Joint Variation
A General Note: Joint Variation If x varies directly with y and inversely with z , we have x=kyz x = k y z .
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 is the constant of variation when x = 5 and Z?
In both equations, the “k” is some constant number which is called the constant of variation. “y varies directly as x and inversely as z”, combined, means: To solve your problem we will first need to find the “k”. For this we take the fact that y = 3 when x = 5 and z = 15.
What does y varies directly as X and inversely as Z mean?
“y varies directly as x”, by itself, means: And “y varies inversely as z”, by itself means: In both equations, the “k” is some constant number which is called the constant of variation. “y varies directly as x and inversely as z”, combined, means: To solve your problem we will first need to find the “k”.
How do you know if Y varies directly with X?
We say y varies directly with x (or as x, in some textbooks) if: y = k x for some constant k, called the constant of variation or constant of proportionality. (Some textbooks describe direct variation by saying ” y varies directly as x “, ” y varies proportionally as x “, or ” y is directly proportional to x.”)
What is the value of X in the inverse variation formula?
The inverse variation formula is: y = k/x. xy = k. Therefore, k = (10) × (12/5) = 24. Now, substitute the values of y and k in the equation xy = k, Thus, x (8) = 24. x = 24/8 = 3. Hence, the value of x = 3.