If y and x are related inversely, then the equation for y can be said to be:
y = k/x
To find the constant k, substitute 12 for y and 6 for x (a pair of values that are known to satisfy the equation).
y = k/x
12 = k/6
12 X 6 = k
72 = k
The value of the variation constant k is 72.
2
50
x2y = k (constant) so 36 x 2 ie 72 is the constant. If x = 3 then y = 72/9 = 8
y is 12
y = cx when x = 8, y = 12 so that 12 = 8c which gives c = 12/8 = 1.5
a varies directly as b and a = 12 when b = 4. What is the constant of variation?
xY = 6.
2
1
50
Direct variation is the ratio of two variable is constant. Inverse variation is when the product of two variable is constant. For example, direct variation is y = kx and indirect variation would be y = k/x .
xy = 8 or y = 8/x
What is y? Fx varies with x, but y could be anything.
(direct variation) t = kr, where k is any constant, and it is called the constant of the variation.t = 2 when r = 26t = kr2 = k(26) (divide by 26 to both sides)2/26 = kk = 1/13(indirect variation) t = c/s, where c is any constant, and it is called the constant of the variation.t = 2 when s = 26t = c/s2 = c/78 (multiply by 78 to both sides)156 = c
xy = K so K = 21
x+y=8 y=-x+8 is not an inverse variation. However, y=8/x is an inverse variation or y varies inversely as x.
2=8/4 the constant is 8 y-k/x i think.