What is the equation of x varies directly as the square of Y?
For direct variation, if x varies directly as y then x=my x = m y , where m is a proportionality constant.
What is the equation of x varies directly as Y?
if x varies directly as y the equation of variation is expressed as X multiple by Y = K .
What does y varies directly as the square of X mean?
If y varies directly with x, then we can express their relationship to one another using the following formula: y = kx, where k is a constant. Therefore, if y varies directly as the square of x and the cube of z, we can write the following analagous equation: y = kx2z3, where k is a constant.
What does varies directly as the square mean?
“the square of” just means that the quantity is squared. For example, the distance in meters that a rock falls (D) varies directly as the square of the time (T) in seconds that it is freely falling in the relationship D = 4.9 T2. So as the time goes up, the distance goes up faster and faster.
Why varies directly as x and inversely as the square of Z?
Mathematically, y ∝ x is the representation of direct proportionality. Inverse proportional means that if one variable y increases, then the other variable x decreases, and if y decreases, then z increases. Mathematically, y ∝ 1 / z is the representation of inverse proportionality.
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. In other words, y and x always have the same ratio: = k. where k is the constant of variation.
How do you write a direct variation equation?
The general form of a direct variation formula is y = k x y=kx y=kx, where x and y are variables (numbers that change) and k is a constant (a number that stays the same).
What does varies directly mean?
Which is an example of a direct square variation?
We say that ‘A varies directly as the square of r’ or A ∝ r2. Example: Given that y varies directly as the cube of x and that y = 21 when x = 3, calculate the value of y when x = 8.
What is the graph of a direct square variation?
The graph of the direct variation equation is a straight line through the origin.
Which of the following equations shows that y varies directly as x and inversely as the square of Z?
Summary: y = ( k × x ) / z2, where k is the constant of proportionality.