How do you write y varies directly as the cube of X?

How do you write y varies directly as the cube of X?

We can interpret “y varies directly as the cube of x” as following formula: y=kx3 , where k = some constant that we need to find.

What does it mean when y varies directly with x?

direct variation
(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.

How do you write z varies directly as x and inversely as Y?

1 Answer

1. If z varies directly to x the equation would be z=kx.
2. If z varies inversely to y2 the equation would be z=ky2.
3. x=2. y=5. z=8.
4. x=4. y=9. z=? k=100.

How do you write an equation in a relationship?

Remember this!

1. The equation that represents a proportional relationship, or a line, is y=kx, where k is the constant of proportionality.
2. Use k=yx from either a table or a graph to find k and create the equation.
3. Proportional relationships can be represented by tables, graphs and equations.

Which of the following shows that y varies inversely as x?

An inverse variation can be represented by the equation xy=k or y=kx . That is, y varies inversely as x if there is some nonzero constant k such that, xy=k or y=kx where x≠0,y≠0 .

What does the statement y varies jointly as x describe?

The phrase “ y varies inversely as x” or “ y is inversely proportional to x” means that as x gets bigger, y gets smaller, or vice versa. This concept is translated in two ways. yx = k for some constant k, called the constant of proportionality.

How do you solve a direct variation with a cube?

The general formula for direct variation with a cube is y = k x 3 \displaystyle y=k{x}^{3} y=kx3​. The constant can be found by dividing y by the cube of x. Now use the constant to write an equation that represents this relationship. Substitute x = 6 and solve for y.

What do the statement Z varies directly as x and inversely as Y means?

Explanation: when z varies directly proportional to x means a division. c=zx where c is a constant of proportionality. when z varies inversely proportional to x it means a product. zy=c.

When y varies directly with x and inversely with Z?

Joint variation occurs when a variable varies directly or inversely with multiple variables. For instance, if x varies directly with both y and z , we have x=kyz x = k y z . If x varies directly with y and inversely with z , we have x=kyz x = k y z .