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Write an equation in the form y kx where k is the constant of variation if y varies directly as x and y 62.50 when x 10?
Since ( y ) varies directly as ( x ), we can express this relationship as ( y = kx ). Given that ( y = 62.50 ) when ( x = 10 ), we can substitute these values into the equation: ( 62.50 = k(10) ). Solving for ( k ) gives ( k = \frac{62.50}{10} = 6.25 ). Therefore, the equation is ( y = 6.25x ).
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Find an equation of variation where y varies directly as x and y 28 when x 7.?
Since ( y ) varies directly as ( x ), we can express this relationship as ( y = kx ), where ( k ) is the constant of variation. Given that ( y = 28 ) when ( x = 7 ), we can substitute these values into the equation to find ( k ): [ 28 = k(7) \implies k = 4. ] Thus, the equation of variation is ( y = 4x ).
Is the problem y equals 3x a direct variation if so what is the constant of variation?
y=3x is a direct variation in that y varies directly with x by a factor of 3. Any linear equation (a polynomial of degree 1, which is a polynomial equation with a highest exponent of 1), is a direct variation of y to x by some constant, and this constant is simply the coefficient of the "x" term. Other examples: y=(1/2)x is a direct variation, and the constant of variation is 1/2 y=-9x is a direct variation, and the constant of variation is -9
If the equation of variation where y varies directly as x One pair of values is y equals 80 when x equals 40?
Since ( y ) varies directly as ( x ), we can express this relationship as ( y = kx ), where ( k ) is the constant of variation. Given the values ( y = 80 ) when ( x = 40 ), we can find ( k ) by substituting these values into the equation: ( 80 = k(40) ). Solving for ( k ) gives ( k = 2 ). Therefore, the equation of variation is ( y = 2x ).
Is y -3x a direct variation?
Yes, the equation ( y = -3x ) represents a direct variation. In a direct variation, the relationship between two variables can be expressed in the form ( y = kx ), where ( k ) is a constant. Here, the constant ( k ) is -3, indicating that ( y ) varies directly with ( x ) but in the opposite direction.
Is 2x plus 3y equals 0 a direct variation?
Direct variation refers to two variable quantities have a constant (unchanged) ratio, in which a variable "varies directly with the other."In order to have a direct variation, the constant of variation must be not equal to 0 in the equation y=kx, where k is the constant.When you try to put 2x+3y=0 into that formula (y= form), you get:2x+3y=03y=-2x ;Subtract the 2xy=(-2/3)x ;Divide by 3Your constant of variation is -2/3, and since it is less than 0, it is does variate directly. Therefore, y varies directly as x.
A varies directly as b and a equals 12 when b equals 4 What is the constant of variation?
a varies directly as b and a = 12 when b = 4. What is the constant of variation?
How would you go about solving this direct variation question and what is the answer- If P varies directly as the square of Q and the constant of variation is 6 what is the value of P when Q equals 12?
If P varies directly with the square of Q then the equation would be in the form of P = kQ2, where k is the constant of variation so the new equation would be: P = 6Q2, so when Q = 12 we have P=6*122, or P = 864
Find an equation of variation where y varies directly as x and y 28 when x 7.?
Since ( y ) varies directly as ( x ), we can express this relationship as ( y = kx ), where ( k ) is the constant of variation. Given that ( y = 28 ) when ( x = 7 ), we can substitute these values into the equation to find ( k ): [ 28 = k(7) \implies k = 4. ] Thus, the equation of variation is ( y = 4x ).
Is the problem y equals 3x a direct variation if so what is the constant of variation?
y=3x is a direct variation in that y varies directly with x by a factor of 3. Any linear equation (a polynomial of degree 1, which is a polynomial equation with a highest exponent of 1), is a direct variation of y to x by some constant, and this constant is simply the coefficient of the "x" term. Other examples: y=(1/2)x is a direct variation, and the constant of variation is 1/2 y=-9x is a direct variation, and the constant of variation is -9
The area of a circle varies directly as the square of the length of its diameter What is the constant of variation?
pi
If the equation of variation where y varies directly as x One pair of values is y equals 80 when x equals 40?
Since ( y ) varies directly as ( x ), we can express this relationship as ( y = kx ), where ( k ) is the constant of variation. Given the values ( y = 80 ) when ( x = 40 ), we can find ( k ) by substituting these values into the equation: ( 80 = k(40) ). Solving for ( k ) gives ( k = 2 ). Therefore, the equation of variation is ( y = 2x ).
Is y -3x a direct variation?
Yes, the equation ( y = -3x ) represents a direct variation. In a direct variation, the relationship between two variables can be expressed in the form ( y = kx ), where ( k ) is a constant. Here, the constant ( k ) is -3, indicating that ( y ) varies directly with ( x ) but in the opposite direction.
Y varies inversely with x and the constant of variation is 6 what equation represents the relationship?
xY = 6.
Is 2x plus 3y equals 0 a direct variation?
Direct variation refers to two variable quantities have a constant (unchanged) ratio, in which a variable "varies directly with the other."In order to have a direct variation, the constant of variation must be not equal to 0 in the equation y=kx, where k is the constant.When you try to put 2x+3y=0 into that formula (y= form), you get:2x+3y=03y=-2x ;Subtract the 2xy=(-2/3)x ;Divide by 3Your constant of variation is -2/3, and since it is less than 0, it is does variate directly. Therefore, y varies directly as x.
Find the variation constant and an equation of variation where y varies directly as x and y equals 10 when x equals 37?
y = kx: 10 = 37k so k = 10/37 and y = 10x/37
What is the constant of variation k if x .5 and y 1 Assume y varies directly as x?
If y varies directly as x then k = 2.
Find an equation of variation where y varies directly as x One pair of values is y equals 80 when x equals 40?
Find an equation of variation where y varies directly as x. One pair of values is y = 80 when x = 40
